List of Publications


Please visit Strathprints to download Mao's papers.

    Books:

  1. Mao, X., Stability of Stochastic Differential Equations with Respect to Semimartingales, Pitman Research Notes in Mathematics Series 251, Longman Scientific and Technical, 1991, 276 pages.
  2. Mao, X., Exponential Stability of Stochastic Differential Equations, Monographs and Textbooks in Pure and Applied Mathematics Series, Marcel Dekker, Inc., 1994, 307 pages.
  3. Mao,X., Stochastic Differential Equations and Applications, Horwood, 1997, 366 pages.
  4. Mao, X. and Yuan, C., Stochastic Differential Equations with Markovian Switching, Imperial College Press, 2006.
  5. Mao,X., Stochastic Differential Equations and Applications (2nd Edition), Horwood, 2007, 422 pages.
  6. Hu, L., Chen, Z. and Mao, X. (Editors), Stochastic Differential Equations and Related Topics, Science Press Beijing, 2007.

    Papers Published in Refereed Journals:

  7. Mao, X., Liouville's formula of stochastic integral equations, J. Fuzhou Univ. 3 (1983), 8-19.
  8. Mao, X., Existence and uniqueness of solutions of stochastic integral equations, J. Fuzhou Univ. 4(1983), 41-50.
  9. Wu, R. and Mao, X., Existence and uniqueness of solutions of stochastic differential equations, Stochastics 11(1983), 19-32.
  10. Li, C. and Mao, X., Stochastic boundedness of Ito^'s Equations, J. East China Inst. Chem. Tech. 3 (1983), 383-385.
  11. Li, C. and Mao, X., Global asymptotic stability of solutions of stochastic differential equations, East China Inst. Chem. Tech. 4 (1986), 531-536.
  12. Li, C. and Mao, X., Delay stochastic differential equations, J. East China Inst. Chem. Tech. 12(6) (1986), 779-792.
  13. Wu, R. and Mao, X., Comparison theorems for stochastic integral equations w.r.t. semimartingales, J. Engin. Math. 3(1) (1986), 1-10.
  14. Mao, X., A note on random fixed point theorem in probabilistic analysis, Stochastic Analysis and Application 6(3) (1988), 305-326.
  15. Wu, R. and Mao, X., A kind of stochastic differential games, (Chinese) Mathematical Statistics and Applied Probability 3(1) (1988), 99-111.
  16. Mao, X., Lebesgue-Stieltjes integral inequalities of the Wendroff type in n-independent variables, Chinese Journal of Mathematics 17(1) (1989), 29-50.
  17. Mao, X., Existence and uniqueness of the solutions to delay stochastic integral equations, Stochastic Analysis and Applications 7(1) (1989), 59-74.
  18. Mao, X., Lebesgue-Stieltjes integral inequalities and stochastic stability, Quarterly J. Math. Oxford (2) 40 (1989), 301-311.
  19. Mao, X., Exponential stability for nonlinear stochastic differential equations with respect to semimartingales, Stochastics and Stochastics Reports 28 (1989), 343-355.
  20. Mao, X., Common random fixed point theorems in probabilistic analysis, Stochastic Analysis and Applications 7(4) (1989), 435-449.
  21. Mao, X., Lebesgue-Stieltjes integral inequalities of the Greene type in n-independent variables, Chinese Journal of Mathematics, 17(4) (1989), 295-305.
  22. Mao, X., Eventual asymptotic stability for stochastic differential equations with respect to semimartingales, Quarterly J. Math. Oxford (2), 41 (1990), 71-77.
  23. Mao, X., Exponential stability in mean square for stochastic differential equations, Stochastic Analysis and Applications, 8(1) (1990), 91-103.
  24. Mao, X., Exponential stability for stochastic differential equations with respect to semimartingales, Stochastic Processes and Their Applications, 35 (1990), 267-277.
  25. Mao, X., Lyapunov functions and almost sure exponential stability of stochastic differential equations based on semimartingales with spatial parameters, SIAM Journal on Control and Optimization, 28(6) (1990), 1481-1490.
  26. Mao, X., Lebesgue-Stieltjes integral inequalities in several variables with retardation, Proceedings Indian Academy Sciences (Math. Sciences), 100(3) (1990), 231-243.
  27. Mao, X., A note on global solution to stochastic differential equation based on semimartingale with spatial parameters, Journal of Theoretical Probability, 4(1) (1991), 161-167.
  28. Mao, X., Exponential stability for stochastic differential delay equations in Hilbert spaces, Quarterly J. Math. Oxford (2), 42 (1991), 77-85.
  29. Mao, X., Eventual uniform asymptotic stability for stochastic differential equations based on semimartingales with spatial parameter, J. Theoretical Prob. 4(2) (1991), 441-456.
  30. Mao, X., Almost sure exponential stability for delay stochastic differential equations with respect to semimartingales, Stochastic Analysis and Applications 9(2) (1991), 177-194.
  31. Mao, X., Approximate solutions for a class of delay stochastic differential equations, Stochastics and Stochastics Reports 35(1991), 111-123.
  32. Mao, X., A note on comparison theorems for stochastic differential equations with respect to semimartingales, Stochastics and Stochastics Reports 37(1991), 49-59.
  33. Mao, X., Approximate solutions for a class of stochastic evolution equations with variable delays, Numerical Functional Analysis and Optimization 12 (1991), 525-533.
  34. Mao, X. and MARKUS, L., Energy bounds for nonlinear dissipative stochastic differential equations with respect to semimartingales, Stochastics and Stochastics Reports 37(1991), 1-14.
  35. Mao, X., Polynomial stability for perturbed stochastic differential equations with respect to semimartingales, Stochastic Processes and Their Applications 41 (1992), 101-116.
  36. Mao, X., Almost sure polynomial stability for a class of stochastic differential equations, Quarterly J. Math. Oxford (2) 43 (1992), 339-348.
  37. Mao, X., Almost sure asymptotic bounds for a class of stochastic differential equations, Stochastics and Stochastics Reports 41 (1992), 57-69.
  38. Mao, X., Solutions of stochastic differential-functional equations via bounded stochastic integral contractors, J. Theoretical Probability 5(3) (1992), 487-502.
  39. Mao, X., Exponential stability of large-scale stochastic differential equations, Systems and Control Letters 19 (1992), 71-81.
  40. Mao, X., Robustness of stability of nonlinear systems with stochastic delay perturbations, Systems and Control Letters 19(1993), 391-400.
  41. Mao, X., Almost sure exponential stability for a class of stochastic differential equations with applications to stochastic flows, Stochastic Analysis and Applications 11(1) (1993), 77-95.
  42. Mao, X. and MARKUS, L., Wave equation with stochastic boundary values, J. Math. Annl. Appl. 177 (2) (1993), 315-341.
  43. Mao, X., Approximate solutions for a class of stochastic evolution equations with variable delays, II, Numerical Functional Analysis and Optimization 15(1994), 65-76.
  44. Mao, X., Approximate solutions of stochastic differential equations with pathwise uniqueness, Stochastic Analysis and Applications 13(3) (1994), 355-367.
  45. Mao, X., Stochastic stabilization and destabilization, Systems and Control Letters 23 (1994), 279-290.
  46. Liao, X.X. and Mao, X., Stability of stochastic neural networks, Journal of Central China Normal Univ. (Nat. Sci.) 29(2) (1995), 141-144.
  47. Mao, X., Adapted solutions of backward stochastic differential equations with non-Lipschitz coefficients, Stochastic Processes and Their Applications 58 (1995), 281-292.
  48. Liao, X.X. and Mao, X., Stability of large-scale stochastic dynamical systems of neutral-type, Journal of Central China Normal Univ. (Nat. Sci.) 29(3) (1995), 273-275.
  49. Mao, X., Exponential stability in mean square of neutral stochastic differential functional equations, Systems and Control Letters 26(1995), 245-251.
  50. Mao, X. and RODKINA, A.E., Exponential stability of stochastic differential equations driven by discontinuous semimartingales, Stochastics and Stochastics Reports 55 (1995), 207-224.
  51. Mao, X., Robustness of exponential stability of stochastic differential delay equations, IEEE Transactions on Automatic Control 41(3) (1996), 442-447. (pdf file)
  52. Liao, X.X. and Mao, X., Almost sure exponential stability of neutral differential difference equations wtih damped stochastic perturbations, Electronic J. Probability Vol. 1 (1996), Paper no. 8, 1-16.
  53. Liao, X.X. and Mao, X., Exponential stability and instability of stochastic neural networks, Stochastic Analysis and Applications 14(2) (1996), 165-185. (pdf file)
  54. Liao, X.X. and Mao, X., Stability of stochastic neural networks, Neural, Parallel and Scientific Computations 4(1996), 205-224. (pdf file)
  55. Mao, X., Stochastic self-stabilization, Stochastics and Stochastics Reports 57 (1996), 57-70. (pdf file)
  56. Mao, X., Exponential stability of nonlinear differential delay equations, Systems and Control Letters 28(1996), 159-165. (pdf file)
  57. Mao, X., Razumikhin-type theorems on exponential stability of stochastic functional differential equations, Stochastic Processes and Their Applications 65 (1996), 233-250. (pdf file)
  58. Liao, X.X. and Mao, X., Stability of large-scale neutral-type stochastic differential equations, Dynamics of Continuous, Discrete and Impulsive Systems 3(1) (1997), 43-56.
  59. Mao, X., Comments on ''an improved Razumikhin-type theorem and its applications'', IEEE Transactions on Automatic Control, 43(3) (1997), 429-430. (pdf file)
  60. Mao, X., Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations, SIAM J. Math. Anal. 28(2) (1997), 389-401. (pdf file)
  61. Mao, X. and Shah, A., Exponential stability of stochastic differential delay equations, Stochastics and Stochastics Reports 60 (1997), 135-153. (pdf file)
  62. Liao, X. and Mao, X., Stability of neutral stochastic differential equations, Chinese Science Bulletin 42(13) (1997), 1143-1144.
  63. Liao, X. and Mao, X., Almost sure exponential stability of neutral stochastic differential difference equations, J. Math. Anal. Appl. 212 (1997), 554-570. (pdf file)
  64. Rodkina,, A., Mao, X. and Melnikov, A.V., Asymptotic normality of generalised Robbins-Monro procedure, Functional Differential Equations Vol 4, No.3-4 (1997), 405-428. (pdf file)
  65. Kolmanovskii, V.B., Mao, X. and Matasov,, A., On approximate solving the mean-square filtering problem in hereditary systems, Dynamic Systems and Applications 7 (1998), 259-276. (pdf file)
  66. Rodkina,, A. and Mao, X. Stabilization of single-link manipulator-robot under stochastic perturbations, Problems of Nonlinear Analysis in Engineering Systems. Vol.2(8) (1998), 28-41. (pdf file)
  67. Liu, K. and Mao, X., Exponential stability of nonlinear stochastic evolution equations, Stochastic Processes and Their Applications 78 (1998), 173-193. (pdf file)
  68. Mao, X, Koroleva, N. and Rodkina,, A., Robust stability of uncertain stochastic differential delay equations, Systems and Control Letters 35 (1998), 325-336. (pdf file)
  69. Mao, X, Rodkina,, A. and Koroleva, N, Razumikhin-type theorems for neutral stochastic functional differential equations, Functional Differential Equations 5(1-2) (1998), 195-211. (pdf file)
  70. Mao, X., Stochastic versions of the LaSalle theorem, Journal of Differential Equations 153 (1999), 175-195. (pdf file)
  71. Mao, X., Stability of stochastic differential equations with Markovian switching, Stochastic Processes and Their Applications 79 (1999), 45-67. (pdf file)
  72. Mao, X. and SELFRIDGE, C., Stability and instability of stochastic interval systems, Dynamic Systems and Applications 8 (1999), 271-286. (pdf file)
  73. Mao, X., LaSalle-type theorems for stochastic differential delay equations, J. Math. Anal. Appl. 236 (1999), 350-369. (pdf file)
  74. Liao, X.X. and Mao, X., Exponential stability in mean square of neutral stochastic differential difference equations, Dynamics of Continuous, Discrete and Impulsive Systems 6(4) (1999), 569-586. (pdf file)
  75. Mao,X., Stochastic functional differential equations with Markovian switching, Functional Differential Equations 6 (1999), 375-396. (pdf file)
  76. Rodkina,, A., Mao,X. and Jarzebowska, E., On problem of robotic hand control under constraints of program typ, Functional Differential Equations 6 (1999), 493--450.
  77. Mao, X., Matasov,, A. and Piunovskiy, A.B., Stochastic differential delay equations with Markovian switching, Bernoulli 6(1) (2000), 73--90. (pdf file)
  78. Mao, X., Asymptotic properties of neutral stochastic differential delay equations, Stochastics and Stochastics Reports 68 (2000), 273-295. (pdf file)
  79. Filimonov, A., Mao, X. and Maslov, S. Splash effect and ergodic properties of solution of the classic difference-differential equation, J. Difference Equations and Applications 6(3) (2000), 319--328.
  80. Mao, X. and Piunovskiy, A., Strategic measures in optimal control problems for stochastic sequences, Sto. Anal. Appl. 18(5) (2000), 755-776. (pdf file)
  81. Liao, X.X. and Mao,X., Exponential stability of stochastic delay interval systems, Systems and Control Letters 40 (2000), 171-181. (pdf file)
  82. Kolmanovskii, V.B., Mao, X. and Rodkina,, A., On asymptotic behavior of solutions of stochastic difference equations, Sto. Anal. Appl. 18(5) (2000), 837-857. (pdf file)
  83. Mao, X., Stability of stochastic integro-differential equations, Sto. Anal. Appl. 18(6) (2000), 1005--1017.
  84. Mao, Robustness of stability of stochastic differential delay equations with Markovian switching, Stability and Control: Theory and Applications 3(1) (2000), 48-61. (pdf file)
  85. Piunovskiy, A.B. and Mao, X., Constrained Markovian decision processes: the dynamic programming approach, Operations Reseach Letters 27 (2000), 119--126.
  86. Mao, X. and Shaikhet, L., Delay-dependent stability criteria for stochastic differential delay equations with Markovian switching, Stability and Control: Theory and Applications 3(2) (2000), 87-101. (pdf file)
  87. Mao, X., The LaSalle-type theorems for stochastic functional differential equations, Nonlinear Studies 7(2) (2000), 307--328. (pdf file)
  88. Mao, X., Almost surely exponential stability of delay equations with damped stochastic perturbation, Sto. Anal. Appl. 19(1) (2001), 67--84.
  89. Blythe, S., Mao, X. and Shah, A., Razumikhin-type theorems on stability of stochastic neural networks with delays, Sto. Anal. Appl. 19(1) (2001), 85--101. (pdf file)
  90. Mao, X. and Selfridge, C., Stability of stochastic interval systems with time delays, Systems and Control Letters 42 (2001), 279-290. (pdf file)
  91. Caraballo, T. Liu, K. and Mao,X., On stabilization of partial differential equations by noise, Nagoya Mathematical Journal 161 (2001), 155-170. (pdf file)
  92. Mao, X. and Matasov, A., Simplified estimation algorithms for hereditary systems with small parameter, Moscow University Mechanics Bulletin Ser. Mathematics, Mechanics 2 (2001), 37--43. (pdf file)
  93. Mao, X., Some contributions to stochastic asymptotic stability and boundedness via multiple Lyapunov functions, J. Math. Anal. Appl. 260 (2001), 325-340. (pdf file)
  94. Blythe, S., Mao, X. and Liao, X.X., Stability of stochastic delay neural networks, Journal of The Franklin Institute 338 (2001), 481-495. (pdf file)
  95. Liu, K. and Mao, X., Large time decay behavior of dynamical equations with random perturbation features, Stoch. Anal. Appl 19 (2) (2001), 295-327. (pdf file)
  96. Mao, X, Attraction, stability and boundedness for stochastic differential delay equations, Nonlinear Analysis: Theory, Methods and Applications, 47 (7) (2001), 4795-4806. (pdf file)
  97. Rodkina, A. and Mao, X. On boundedness and stability of solutions of nonlinear difference equation with nonmartingale type noise, J. Differ. Equ. Appl. 7(4) (2001), 529-550. (pdf file)
  98. Mao, X., Marion, G. and Renshaw, E., Convergence of the Euler shceme for a class of stochastic differential equations, International Mathematical Journal 1(1) (2002), 9--22. (pdf file)
  99. Mao, X., Marion, G. and Renshaw, E., Environmental noise suppresses explosion in population dynamics, Stochastic Processes and Their Applications 97 (2002), 95--110. (pdf file)
  100. Mao, X., A note on the LaSalle-type theorems for stochastic differential delay equations, J. Math. Anal. Appl. 268 (2002), 125--142. (pdf file)
  101. Mao, X., Asymptotic stability for stochastic differential equations with Markov switching, WSEAS Transactions on Circuits 1(1) (2002), 68-73.
  102. Mao, X., Asymptotic stability for stochastic differential delay equations with Markovian switching, Functional Differential Equations 9(1-2) (2002), 201--220.
  103. Higham, D.J., Mao, X. and Stuart, A.M., Strong convergence of Euler-type methods for nonlinear stochastic differential equations, SIAM Journal on Numerical Analysis 40(3) (2002), 1041--1063. (pdf file)
  104. Mao, X., Exponential Stability of Stochastic Delay Interval Systems with Markovian Switching, IEEE Trans. Automat. Contr. 47(10) (2002), 1604-1612.
  105. Marion, G., Mao, X., Renshaw, E. and Liu, J., Spatial heterogeneity and the stability of reaction states in autocatalysis, Physical Review E 66 (2002), 051915-1--9.
  106. Mao, X. and Sabanis, S., Numerical solutions of stochastic differential delay equations under local Lipschitz condition, Journal of Computational and Applied Mathematics 151 (2003), 215--227. (pdf file)
  107. Yuan, C. and Mao, X., Asymptotic stability in distribution of stochastic differential equations with Markovian switching, Sto. Proce. Their Appl. 103 (2003), 277--291. (pdf file)
  108. Hu, S., Liao, X.X. and Mao, X., Stochastic Hopfield neural networks, Journal of Physics A: Mathematical and General 36 (2003), 2235--2249. (pdf file)
  109. Mao, X., Numerical solutions of stochastic functional differential equations, LMS Journal of Computation and Mathematics 6 (2003), 141--161. (pdf file)
  110. Yuan, C. and Mao, X., Asymptotic stability and boundedness of stochastic differential equations with respect to semimartingales, Sto. Anal. Appl. 21(3) (2003), 737--751. (pdf file)
  111. Kolmanovskii, V., Koroleva, N., Maizenberg, T., Mao, X. and Matasov, A., Neutral stochastic differential delay equations with Markovian switching, Sto. Anal. Appl. 21(4) (2003), 819--847. (pdf file)
  112. Yuan, C., Zou, J. and Mao, X, Stability in distribution of stochastic differential delay equations with Markovian switching, Systems and Control Letters 50 (2003), 195--207. (pdf file)
  113. Mao, X., Sabanis, S. and Renshaw, R., Asymptotic behaviour of the stochastic Lotka-Volterra model, J. Math. Anal. Appl. 287(1) (2003), 141--156. (pdf file)
  114. Higham, D.J., Mao, X. and Stuart, A.M., Exponential mean-square stability of numerical solutions to stohcastic differential equations, LMS J. Comput. Math. 6 (2003), 297--313. (pdf file)
  115. Yuan, C. and Mao, X., Robust stability and controllability of stochastic differential delay equations with Markovian switching, Automatica 40(3) (2004), 343--354. (pdf file)
  116. Liao, X., Mao, X., Wang, J. and Zeng, Z, Algebraic conditions of stability for the Hopfield neural networks, Science in China Ser. F Information Sciences 47 (2004), 113--125. (pdf file)
  117. Bahar, A. and Mao, X., Stochastic delay population dynamics, Journal of International Applied Math. 11 (4) (2004), 377--400.
  118. Sergeyuk, N.P., Koroleva, N.I. and Mao, X., About Mathematical Simulation in Toxicology of Industrial Microorganisms, Toxicological Review No.1 (2004), 25--30.
  119. Bahar, A. and Mao, X., Stochastic delay Lotka-Volterra model, J. Math. Anal. Appl. 292 (2004), 364--380. (pdf file)
  120. Yuan, C. and Mao, X., Convergence of the Euler-Maruyama method for stochastic differential equations with Markovian switching, Mathematics and Computers in Simulation 64 (2004), 223--235. (pdf file)
  121. Bashkov, A., Kolmanovskii, V., Mao, X. and Matasov, A., Mean-square filtering problem for discrete Volterra equations, Sto. Anal. Appl. 22(4) (2004), 1085--1110. (pdf file)
  122. Yuan, C. and Mao, X., Stability in distribution of numerical solutions for stochastic differential equations, Sto. Anal. Appl. 22(5) (2004), 1133--1150. (pdf file)
  123. Mao, X., Yuan, C. and Yin, G., Numerical method for stationary distribution of stochastic differential equations with Markovian switching, Journal of Computational and Applied Mathematics 174 (2005), 1--27. (pdf file)
  124. Yuan, C. and Mao, X., Stationary Distributions of Euler-Maruyama-Type Stochastic Difference Equations with Markovian Switching and Their Convergence, Journal of Difference Equations and Applications 11 (2005), 29--48. (pdf file)
  125. Mao, X., Yuan, C. and Zou, J., Stochastic differential delay equations of population dynamics, Journal of Math. Anal. Appl. 304 (2005), 296--320. (pdf file)
  126. Higham, D.J. and Mao, X., Convergence of Monte Carlo simulations involving the mean-reverting square root process, Journal of Computational Finance, 8(3) (2005), 35--62. (pdf file)
  127. Mao, X., Delay populationi dynamics and environmental noise, Stochastics and Dynamics 5(2) (2005), 149--162. (pdf file)
  128. Yin, G., Mao, X. and Yin, K., Numerical Approximation of Invariant Measures for Hybrid Diffusion Systems, IEEE Transactions on Automatic Control 50(7) (2005), 934--946.
  129. Appleby, J., Mao, X. and Rodkina, A., On the pathwise super-exponential decay rates of solutions of scalar nonlinear stochastic differential equations, Stochastics, 77(3) (2005), 241--269.
  130. Appleby, J. and Mao, X., Stochastic stabilization of functional differential equations, Systems and Control Letters 54(11) (2005), 1069--1081.
  131. Bashkov, A., Kolmanovskii, V., Mao, X. and Matasov, A., On a boundary value problem in the filtering theory for discrete Volterra equations, J. Sto. Anal. Appl. 23 (2005), 999--1016.
  132. Mao, X. and Rassias, M.J., Khasminskii-type theorems for stochastic differential delay equations, J. Sto. Anal. Appl. 23 (2005), 1045--1069.
  133. Shen, Y, Zhao, G., Jiang, M. and Mao X., Stochastic Lotka-Volterra competitive systems with variable delay, Lecture Notes in Computer Science 3645 (2005), 238--247.
  134. Xu, S., Lam, J., Mao, X. and Y. Zou, A new LMI condition for delay-dependent robust stability of stochastic time-delay systems, Asian Jornal of Control 7(4) (2005), 419--423.
  135. Mao, X., Lam, J., Xu, S. and Gao, H., Razumikhin method and exponential stability of hybrid stochastic delay interval systems, Journal of Mathematical Analysis and Applications 314 (2006), 45--66.
  136. Lygeros, J., Mao, X. and Yuan, C., Stochastic hybrid delay population dynamics, Lecture Notes in Computer Science 3927 (2006), 436--450.
  137. Shen, Y. and Mao, X., Asymptotic behaviours of stochastic differential delay equations, Asian Journal of Control 8(1) (2006), 21--27.
  138. Shen, Y., Luo, Q. and Mao, X., The improved LaSalle-type theorems for stochastic functional differential equations, J. Math. Anal. Appl. 318 (2006), 134--154.
  139. Appleby, J., Mao, X. and Rodkina, A., On stabilization of differential equations, Discrete and Continuous Dynamical Systems--Series A 15(3) (2006), 843--857.
  140. Mao, X. and Riedle, M., Mean square stability of stochastic Volterra integro-differential equations, Systems and Control Letters 55 (2006), 459--465.
  141. Luo, Q., Mao, X. and Shen, Y., New criteria on exponential stability of neutral stochastic differential delay equations, Systems and Control Letters 55 (2006), 826--834.
  142. Mao, X., Truman, A. and Yuan, C., Euler-Maruyama approximations in mean-reverting stochastic volatility model under regime-switching, Journal of Applied Mathematics and Stochastic Analysis, Volume 2006 (2006), Article ID 80967, 20 pages.
  143. Higham, D.J. and Mao, X., Nonnormality and stochastic differential equations, BIT Numerical Mathematics 46 (2006), 525--532.
  144. Yuan, C. and Mao, X., Attraction and stochastic asymptotic stability and boundedness of stochastic functional differential equations with respect to semimartingales, Sto. Anal. Appl. 24 (2006), 1169--1184.
  145. Dalal, N., Greenhalgh, D. and Mao, X., A stochastic model of AIDS and condom use, J. Math. Anal. Appl. 325 (1) (2007), 36--53.
  146. Mao, X., Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations, Journal of Computational and Applied Mathematics 200 (2007), 297--316.
  147. Mao, X., Yin, G. and Yuan, C. Stabilization and destabilization of hybrid systems of stochastic differential equations, Automatica 43 (2007), 264--273.
  148. Mao, X. and Rassias, M.J., Almost sure asymptotic estimations for solutions of stochastic differential delay equations, International Journal of Applied Mathematics \& Statistics, 9 (7) (2007), 95--109.
  149. Mao, X., Yuan, C. and Yin, G., Approximations of Euler-Maruyama Type for Stochastic Differential Equations with Markovian Switching, under Non-Lipschitz Conditions, Journal of Computational and Applied Mathematics 205 (2007), 936--948.
  150. Higham, D.J., Mao, X. and Yuan, C., Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations, SIAM Journal on Numerical Analysis, 45(2) (2007), 592--609.
  151. Luo, Q. and Mao, X, Stochastic population dynamics under regime switching, J. Math. Anal. Appl. 334 (1) (2007), 69--84.
  152. Yuan, C. and Mao, X., A Note on numerical solutions of stochastic functional differential equations with Markovian switching, Funct. Differ. Equ. 14 (2007), 161--172.
  153. Mao, X., Stability and stabilization of stochastic differential delay equations, IET Control Theory \& Applications 1(6) (2007), 1551--1566.
  154. Gao, H., Lam, J., Mao, X., Shi, P., $H_\infty$ filtering for uncertain bilinear stochastic systems, Nonlinear Dyn. Syst. Theory 7(2) (2007), 151--168.
  155. Higham, D., Mao, X. and Yuan, C., Preserving exponential mean-square stability in the simulation of hybrid SDEs, Numerische Mathematik 108 (2007), 295--325.
  156. Pang, S., Deng, F. and Mao, X., Almost sure and moment exponential stability of Euler--Maruyama discretizations for hybrid stochastic differential equations Journal of Computational and Applied Mathematics 213 (2008), 127--141.
  157. Deng, F., Luo, Q., Mao, X. and Pang, S., Noise suppresses or expresses exponential growth, Systems \& Control Letters 57 (2008), 262--270.
  158. Dalal, N., Greenhalgh, D. and Mao, X., A stochastic model for internal HIV dynamics, J. Math. Anal. Appl. 341 (2008), 1084--1101.
  159. Yang, Z., Mao, X. and Yuan, C., Comparison theorem of one-dimensional stochastic hybrid systems, Systems and Control Letters 57 (2008), 56--63.
  160. Appleby, J., Mao, X. and Rodkina, A., Stabilisation and destabilisation of nonlinear differential equations by noise, IEEE Transactions on Automatic Control 53(3) (2008), 683--691.
  161. Wu, F. and Mao, X., Numerical solutions of neutral stochastic functional differential equations, SIAM J. Numer. Anal. 46(4) (2008), 1821--1841.
  162. Yuan, C. and Mao, X., A note on the rate of convergence of the Euler--Maruyama methods for stochastic differential equations, Sto. Anal. Appl. 26(2) (2008), 325-333.
  163. Hu, L. and Mao, X., Almost sure exponential stabilisation of stochastic systems by state-feedback control, Automatica 44 (2008), 465--471.
  164. Luo, Q., Deng, F., Mao, X., et al., Theory and application of stability for stochastic reaction diffusion systems, Science in China Series F-Information Sciences 51(2) (2008),158--170.
  165. Yin, J. and Mao, X., the adapted solution and comparision theorem for backward stochastic differential equtions with Poisson jumps and applications, J. Math. Anal. Appl. 346 (2008), 345--358.
  166. Mao, X., Shen, Y. and Yuan, C., Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching, Stochastic Processes and their Applications 118 (2008), 1385--1406.
  167. Mao, X., Lam, J. and Huang, L., Stabilisation of hybrid stochastic differential equations by delay feedback control, Systems & Control Letters 57 (2008), 927--935.
  168. Wu, F., Mao, X. and Yin, J., Uncertainty and economic growth in a stochastic R&D model, Economic Modelling 25 (2008), 1306--1317.
  169. Wu, F., Mao, X. and Chen, K., A highly sensitive mean-reverting process in finance and the Euler-Maruyama approximations, J. Math. Anal. Appl. 348(1) (2008), 540--554.
  170. Huang, L., Mao, X. and Deng, F., Stability of hybrid stochastic retarded systems, IEEE Transactions on Circuits and Systems I 55(11) (2008), 3413--3420.
  171. Pang, S., Deng, F. and Mao, X., Asymptotic properties of stochastic population dynamics, Dynamics of Continuous, Discrete & Impulsive Systems Series A: Mathematical Analysis 15 (2008), 603--620.
  172. Appleby, J.A.D, Mao, X. and Riedle, M., Geometric Brownian motion with delay: Mean square characterisation. Proceedings of the American Mathematical Society 137(1) (2009), 339--348.
  173. Huang, L. and Mao, X., Delay-dependent exponential stability of neutral stochastic delay systems, IEEE Transactions on Automatic Control 54(1) (2009), 147--152.
  174. Li, X. and Mao, X., Population dynamical behavior of non-autonomous Lotka--Valterra competitive system with random perturbation, Discrete and Continuous Dynamical Systems 24(2) (2009), 523--545.
  175. Luo, Q. and Mao, X., Stochastic Population dynamics under regime switching II, J. Math. Anal. Appl. 355 (2009), 577--593.
  176. Hu, G., Liu, M., Mao, X. and Song, M., Noise Suppresses Exponential Growth under Regime Switching, J. Math. Anal. Appl. 355 (2009), 783--795.
  177. Appleby, J., Lynch, T., Mao, X. and Wu, H., the size of the largest fluctuations in a market model with Markovian switching, Communications in Applied Analysis 13(2) (2009), 135--166.
  178. Dalal, N., Greenhalgh, D. and Mao, X., Mathematical modelling of internal HIV dynamics, Discrete and Continuous Dynamical Systems Series B 12(2) (2009), 305--321.
  179. Hu, G., Liu, M., Mao, X. and Song, M., Noise expresses exponential growth under regime switching, Systems and Control Letters 58(2009), 691--699.
  180. Giles, M.B., Higham, D.J. and Mao, X., Analysing multi-level Monte Carlo for options with non-globally Lipschitz payoff, Finance and Stochastics 13(3)(2009), 403--413.
  181. Li, X. and Mao, X., Population dynamical behavior of Lotka-Volterra system under regime switching, Journal of Computational and Applied Mathematics 232(2009), 428--448.
  182. Yin, J., Mao, X. and Wu, F., Generalized stochastic delay Lotka--Volterra systems, Stochastic Models 25(2009), 436--454.
  183. Intep, S., Higham, D. and Mao, X., Switching and diffusion models for gene regulation networks, SIAM J. Multiscale Model. Simul. 8(1)(2009), 30--45.
  184. Huang, L. and Mao, X., On input-to-state stability of stochastic retarded systems with Markovian switching, IEEE Transactions on Automatic Control 54(8)(2009), 1898--1902.
  185. Appleby, J., Kelly, C., Mao, X. and Rodkina, A., Positivity and stabilisation for nonlinear stochastic delay differential equations, Stochastics 81(1) (2009), 29--54.
  186. Yuan, C, Mao, X. and Lygeros, J., Stochastic hybrid delay population dynamics: well-posed models and extinction, Journal of Biological Dynamics 3(1) (2009), 1--21.
  187. Wu, F., Mao, X. and Chen, K., The Cox-Ingersoll-Ross model with delay and strong convergence of its Euler--Maruyama approximate solutions, Applied Numerical Mathematics 59(10) (2009), 2641--2658.
  188. Huang, L., Mao, X. and Deng, F., Delay-dependent robust stability of stochastic delay systems with Markovian switching, Journal of Control Theory and Applications 7(4) (2009), 367--372.
  189. Huang, L. and Mao, X., Robust delayed-state-feedback stabilization of uncertain stochastic systems, Automatica 45(5) (2009), 1332--1339.
  190. Yin, G., Mao, X., Yuan, C. and Cao, D., Approximation methods for hybrid diffusion systems with state-dependent switching processes: numerical algorithms and existence and uniqueness of solutions, SIAM J. Math. Anal. 41(6) (2010), 2335--2352.
  191. Li, X., Mao, X. and Shen, Y., Approximate solutions of stochastic differential delay equations with Markovian switching, to appear in Journal of Difference Equations and Applications 16(2-3) (2010), 195--207.
  192. Appleby, J., Mao, X. and Wu, H., On the almost sure running maxima of solutions of affine stochastic functional differential equations, SIAM J. Math. Anal. 42(2) (2010), 646--678.
  193. Appleby,J.A.D., Kelly, C., Mao, X. and Rodkina, A., On the local dynamics of polynomial difference equations with fading stochastic perturbations, Dynamics of Continuous, Discrete and Implusive Systems Serires A 17 (2010),401--430.
  194. Huang, L. and Mao, X., SMC design for robust $H_\infty$ control of uncertain stochastic delay systems, Automatica 46(2) (2010), 405--412.
  195. Huang, L. and Mao, X., On almost sure stability of hybrid stochastic systems with mode-dependent interval delays, IEEE Transactions on Automatic Control 55(8) (2010), 1946--1952.
  196. Wu, F., Mao, X. and Szpruch, L., Almost sure exponential stability of numerical solutions for SDDEs, Numerische Mathematik 115(4) (2010), 681--697.
  197. Yuan, C. and Mao, Y., Stability of stochastic delay hybrid systems with jumps, European Journal of Control 6 (2010), 595--608.
  198. Wu, F., Mao, X. and Hu, S., Stochastic suppression and stabilization of functional differential equations, Systems Control Lett. 59(12) (2010), 745--753.
  199. Mao, X., Shen, Y. and Gray, A., Almost sure exponential stability of backward Euler-Maruyama discretizations for hybrid stochastic differential equations Journal of Computational and Applied Mathematics 235 (2011), 1213--1226.
  200. Li, X., Gray, A., Jiang, D. and Mao, X., Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching, J. Math. Anal. Appl. 376 (2011), 11--28.
  201. Mao, X., Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions, Applied Mathematics and Computation 217 (2011), 5512--5524.
  202. Huang, L. and Mao, X., Stability of singular stochastic systems with Markovian switching, IEEE Transactions on Automatic Control 56(2) (2011), 424--429.
  203. Higham, D., Intep, S., Mao, X. and Szpruch, L., Hybrid simulation of autoregulation within transcription and translation, BIT Numerical Mathematics 51 (2011), 177-196.
  204. Vass JK, Higham DJ, Mudaliar MAV, Mao X, Crowther DJ, Discretization Provides a Conceptually Simple Tool to Build Expression Networks. PLoS ONE 6(4) (2011): e18634. doi:10.1371/journal.pone.0018634
  205. Mao, X., Stationary distribution of stochastic population systems, Systems and Control Letter 60 (2011), 398�-405.
  206. Gray, A., Greenhalgh, Hu, L., Mao, X. and Pan, J., A stochastic differential equation SIS epidemic model, SIAM Journal on Applied Mathematics 71(3) (2011), 876--902.
  207. Wu, F., Mao, X. and Kloeden, P., Almost sure exponential stability of the Euler--Maruyama approximations for stochastic functional differential equations, Random Operator and Stochastic Equations 19(2) (2011), 105--216.
  208. Bao, J., Mao, X., Yin,G. and Yuan, C., Competitive Lotka--Volterra population dynamics with jumps, Nonlinear Analysis 74(2011), 6601--6616.
  209. Luo, Q., Mao, X. and Shen, Y., Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations, Automatica 47 (2011), 2075--2081.
  210. Wu, F., Hu,S. and Mao, X. Razumikhin-type theorem for neutral stochastic functional differential equations with unbounded delay, Acta Mathematica Scientia 31(4) (2011), 1245--1258
  211. J. Bao, B. Bottcher, X.Mao and C. Yuan, Convergence rate of numerical solutions to SFDEs with jumps, Journal of Computational and Applied Mathematics 236 (2011), 119--131.
  212. Nguyen, D.T., Mao, X., Yin, G. and Yuan, C. Stability of singular jump-linear systems with a large state space: A two-time-scale approach, The Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM) 52(4) (2011), 372--390.
  213. Szpruch, L., Mao, X., Higham, D. and Pan, J., Numerical simulation of a strongly nonlinear Ait-Sahalia type interest rate model, BIT Numerical Mathematics 51(2011), 405--425.
  214. Bao,J., Mao, X. and Yuan, C. Lyapunov exponents of hybrid stochastic heat equations, Systems \& Control Letters 61 (1) (2012), 165--172.
  215. Li, X. and Mao, X., The improved LaSalle-type theorems for stochastic differential delay equations, Stochastic Analysis and Applications 30 (2012), 568--589.
  216. Gray, A., Greenhalgh, D., Mao, X. and Pan, J., The SIS epidemic model with Markovian switching, J. Math. Anal. Appl. 394(2) (2012), 496--516.
  217. Deng, F, Luo, Q. and Mao, X., Stochastic Stabilization of Hybrid Differential Equations, Automatica 48 (2012), 2321--2328.
  218. Li, X. and Mao, X., A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching, Automatica 48 (2012), 2329--2334.
  219. Baduraliya, C. and Mao, X., The Euler-Maruyama approximation for asset price in the mean-reverting-theta stochastic volatility model, Computers and Mathematics with Applications 64 (2012), 2209--2223.
  220. Li, C., Chen, M.Z.Q., Lam, J. and Mao, X., On exponentially almost sure stability of random jump systems, IEEE Transactions on Automatic Control 57(12) (2012), 3064--3077.
  221. Mao, X. and Szpruch, L. Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients, Stochastics An International Journal of Probability and Stochastic Processes 85(1) (2013), 144--171
  222. Mao,X. and Sabanis, S., Delay geometric Brownian motion in financial option valuation, Stochastics An International Journal of Probability and Stochastic Processes 85(2) (2013), 295--320.
  223. Wu, F., Mao, X. and Kloeden, P., Discrete Razumikhin-type technique and stability of the Euler--Maruyama method to stochastic functional differential equations, Discrete and Continuous Dynamical Systems 33(2) (2013), 885--903.
  224. Yang, Q. and Mao, X. Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations, Nonlinear Analysis: Real World Applications 14 (2013), 1434--1456.
  225. Hu, L., Mao, X. and Shen, Y., Stability and boundedness of nonlinear hybrid stochastic differential delay equations, Systems \& Control Letters 62 (2013), 178-187.
  226. Mao, X. and Szpruch, L., Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients, Journal of Computational and Applied Mathematics 238 (2013), 14-28.
  227. Song, M., Hu, L., Mao,X. and Zhang, L., Khasminskii-Type theorems for stochastic functional differential equations, Discrete and Continuous Dynamical Systems B 18(6) (2013), 1697--1714.
  228. Lu, Y., Zhang, L. and Mao, X., Distributed information consensus filters for simultaneous input and state estimation, Circuits, Systems \& Signal Process 32 (2013), 877--888.
  229. Higham, D., Mao, X., Roj, M., Song, Q. and Yin, G., Mean exit times and the multi-level Monte Carlo method, SIAM/ASA Journal on Uncertainty Quantification 1 (2013), 2-17.
  230. Hu, J., Mao, X. and Yuan, C., Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes, Abstract and Applied Analysis, vol. 2013, Article ID 854743, 12 pages, 2013. doi:10.1155/2013/854743.
  231. Mao, W. and Mao, X., Approximate solutions of hybrid stochastic pantograph equations with Levy jumps, Abstract and Applied Analysis, vol. 2013, Article ID 718627, 15 pages, 2013. doi:10.1155/2013/718627.
  232. Liu, W. and Mao, X. Asymptotic moment boundedness of the numerical solutions of stochastic differential equations, Journal of Computational and Applied Mathematics 251 (2013), 22--32.
  233. Hu, L., Mao, X. and Zhang, L., Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations, IEEE Transactions on Automatic Control 59(9) (2013), 2319--2332.
  234. Liu, W. and Mao, X. Strong convergence of the stopped Euler�Maruyama method for nonlinear stochastic differential equations, Applied Mathematics and Computation 223 (2013), 389--400.
  235. Mao, X., Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control, Automatics 49(12) (2013), 3677-3681.
  236. Higham, D.J., Mao, X. and Szpruch, L., Convergence, non-negativity and stability of a new Milstein scheme with applications to finance, Discrete Contin. Dyn. Syst. Ser. B 18(8) (2013), 2083--2100.
  237. Xiong, J., Lam, J., Shu, Z. and Mao, X., Stability analysis of continuous-time switched systems with a random switching signal, IEEE Transactions on Automatic Control 59(1) (2014), 180--186.
  238. Pan, J., Gray, A., Greenhalgh, D. and Mao, X., Parameter estimation for the stochastic SIS epidemic model, Stat Inference Stoch Process 17(1) (2014), 75--98.
  239. Yang, Q. and Mao, X., Stochastic dynamical behavior of SIRS epidemic models with random perturbation, Mathematical Biosciences and Engineering 11(4) (2014), 1003--1025.
  240. Mao, W. and Mao, X., On the approximations of solutions to neutral SDEs with Markovian switching and jumps under non-Lipschitz conditions, Applied Mathematics and Computation 230 (2014), 104-119.
  241. Mao, X., Song, Q. and Yang, D., A note on exponential almost sure stability of stochastic differential equation, Bull. Korean Math. Soc. 51(1) (2014), 221�-227.
  242. Liu, W., Foondun, M. and Mao, X., Mean square polynomial stability of numerical solutions to a class of stochastic differential equation, Statisitcs & Probability Letters. 92 (2014) 173--182.
  243. Mao, X., Liu, W., Hu, L., Luo,Q. and Lu, J., Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations, Systems and Control Letters 73(2014), 88--95. (Top 1 among the most downloaded papers. Open access. Please go to Systems and Control Letters to download the PDF for free.)
  244. Liu, W. and Mao, X., Numerical stationary distribution and its convergence for nonlinear stochastic differential equations, Journal of Computational and Applied Mathematics 276 (2015), 16--29.
  245. Zhao, Y., Jiang, D., Mao, X. and Gray, A., The threshold of a stochastic SIRS epidemic model in a population with varying size, Discrete and Continuous Dynamical Systems B 20(4)(2015), 1289--1307.
  246. Mao, X. Almost sure exponential stability in the numerical simulation of stochastic differential equations, SIAM J. Numer. Anal. 53(1) (2015), 370�-389. (Open access. Please go to SIAM J. Numer Anal. to download the PDF for free.)
  247. Mao, W., You, S., Wu, X. and Mao, X., On the averaging principle for stochastic delay differential equations with jumps, Adv. Difference Equ. 2015, 2015:70, 19 pp.
  248. You, S., Hu, L., Mao, W. and Mao, X., Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations, Statistics and Probability Letters 102 (2015), 8--16.
  249. You, S., Liu, W., Lu, J., Mao, X. and Qiu, Q., Stabilization of hybrid systems by feedback control based on discrete-time state observations, SIAM J. Control and Optimization 53(2) (2015), 905--925.
  250. Mao, W., Zhu, Q. and Mao, X., Existence, uniqueness and almost surely asymptotic estimations of the solutions to neutral stochastic functional differential equations driven by pure jumps, Appl. Math. Comput. 254 (2015), 252--265.
  251. You, S., Mao, W., Mao, X. and Hu, L., Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients, Applied Math. Computation 263 (2015), 73--83.
  252. Mao, X., The truncated Euler-Maruyama method for stochastic differential equations, Journal of Computational and Applied Mathematics 290 (2015), 370--384. (Please go to JCAM to download the PDF.)
  253. Mao, W., Hu, L. and Mao, X., The existence and asymptotic estimations of solutions to stochastic pantograph equations with diffusion and Levy jumps, Applied Mathematics and Computation 268 (2015), 883-896.
  254. Greenhalgh, D., Liang, Y. and Mao, X., Demographic stochasticity in the SDE SIS epidemic model, Discrete and Continuous Dynamical Systems Series B, 20(9) (2015), 2859-2884.
  255. Zhang, L. and Mao, X., Vehicle density estimation of freeway traffic with unknown boundary demand-supply: an interacting multiple model approach, IET Control Theory \& Applications, 9(13) (2015), 1989--1995.
  256. Feng, L., Huang, Z. and Mao, X., Mean percentage of returns for stock market linked savings accounts, Applied Mathematics and Computation 273 (2016), 1130--1147.
  257. Mao, X., Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations, Journal of Computational and Applied Mathematics 296 (2016), 362--375. (Please go to JCAM to download the PDF.)
  258. Greenhalgh, D., Liang, Y. and Mao, X., SDE SIS epidemic model with demographic stochasticity and varying population size, Applied Mathematics and Computation 276(2016), 218--238.
  259. Liang, Y., Greenhalgh, D. and Mao, X., A stochastic differential equation model for the spread of HIV amongst people who inject drugs, Computational and Mathematical Methods in Medicine, Volume 2016 (2016), Article ID 6757928, 14 pages.
  260. Mao, W. and Mao, X., An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure Advances in Difference Equations 2016, 77, 18p.
  261. Mao, X., Almost sure exponential stabilization by discrete-time stochastic feedback control, IEEE Transactions on Automatic Control 61(6) (2016), 1619--1624. (Please go to IEEE TA to download the PDF.)
  262. Guo, Q., Mao, X. and Yue, R., Almost sure exponential stability of stochastic differential delay equations, SIAM J. Control Optim. 54(4) (2016), 1919--1933. (Please go to SIAM J. Control Optim. to download the PDF.)
  263. Greenhalgh, D., Liang, Y. and Mao, X., Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching, Physica A: Statistical Mechanics and its Applications 462 (2016), 684--704.
  264. Qiu, Q.,Liu, W., Hu, L., Mao, X. and You, S., Stabilisation of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay, Statistics and Probability Letters 115 (2016), 16--26.
  265. Zhao, Y., Lin, Y., Jiang, D., Mao, X. and Li, Y Stationary distribution of stochastic SIRS epidemic model with standard incidence, Discrete and Continuous Dynamical Systems Series B 21(7) (2016), 2363--2378.
  266. Mao, W., You, S. and Mao, X., On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps, Journal of Computational and Applied Mathematics 301 (2016),1--15. (Please go to Applied Numerical Mathematics to download the PDF.)
  267. Su, H., Mao, X. and Li, W., Hopf bifurcation control for a class of delay differential systems with discrete-time delayed feedback controller, Chaos 26, 113120 (2016).
  268. Feng, L., Li, S. and Mao, X., Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching, J. Franklin Inst. 353(18) (2016), 4924�-4949.
  269. Mao, W., Hu. L. and Mao, X., Neutral stochastic functional differential equations with L\'evy jumps under the local Lipschitz condition, Advances in Difference Equations 2017:57 (2017), 1--24.
  270. Song, G., Zheng, B-C., Luo, Q. and Mao, X., Stabilisation of hybrid stochastic differential equations by feedback control based on discrete-time observations of state and mode, IET Control Theory Appl. 11(3) (2017), 301--307.
  271. Guo, Q., Liu, W., Mao, X. and Yue, R., The partially truncated Euler-Maruyama method and its stability and boundedness, Applied Numerical Mathematics 115 (2017), 235--251. (Please go to Applied Numerical Mathematics to download the PDF.)
  272. Liu, W. and Mao, X., Almost sure stability of the Euler--Maruyama method with random variable stepsize for stochastic differential equations, Numerical Algorithms 74 (2017), 573--592. (Please go to Numerical Algorithms to download the PDF.)
  273. Fei, W., Hu, L., Mao, X. and Shen, M., Delay dependent stability of highly nonlinear hybrid stochastic systems, Automatica 82 (2017), 65--70. (Open access. Please go to Automatica to download the PDF for free.)
  274. Li Y., Lu, J., Mao, X. and Qiu, Q., Stabilization of hybrid systems by feedback control based on discrete-time state and mode observations, Asian Journal of Control 19(6) (2017), 1943--1953.
  275. Li, Y., Lu, J., Kou, K., Mao, X. and Pan, J., Robust stabilization of hybrid uncertain stochastic systems by discrete-time feedback control, Optimal Control Applications and Methods 38(5)(2017), 847--859.
  276. Dong, R. and Mao, X., On pth moment stabilization of hybrid systems by discrete-time feedback control , Sto. Anal. Appl. 35(5)(2017), 803--822.
  277. Song, M. and Mao, X., Almost sure exponential stability of hybrid stochastic functional differential equations, J. Math. Anal. Appl. 458 (2018) 1390--1408. (Open access. Please go to JMAA to download the PDF for free.)
  278. Hu, L., Li, X. and Mao, X., Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations, J. Comput. Appl. Math. 337 (2018), 274--289. % Open access
  279. Mao, W., Hu, L. and Mao, X., Approximate solutions for a class of doubly perturbed stochastic differential equations Adv. Difference Equ. 2018:37, 17 pp.
  280. Guo, Q., Liu, W., Mao, X. and Yue, R., The truncated Milstein method for stochastic differential equations with commutative noise, J. Comput. Appl. Math. 338 (2018), 298--310. (Open access. Please go to JCAM to download the PDF for free.)
  281. Guo, Q., Liu, W., Mao, X. and Zhan, W., Multi-level Monte Carlo methods with the truncated Euler-Maruyama scheme for stochastic differential equations, International Journal of Computer Mathematics 95(9) (2018), 1715--1726. (Open access. Please go to the Journal to download the PDF for free.)
  282. Guo, Q., Mao, X. and Yue, R., The truncated Euler--Maruyama method for stochastic differential delay equations, Numer. Algorithms 78 (2018), 599--624. (Open access. Please go to the Journal to download the PDF for free.)
  283. Guo, Q., Liu, W. and Mao, X., A note on the partially truncated Euler--Maruyama method, Appl. Numer. Math. 130 (2018) ,157--170.
  284. Song, G., Lu, Z., Zheng, B. and Mao, X., Almost sure stabilization of hybrid systems by feedback control based on discrete-time observations of mode and state, Sci China Inf Sci, 2018, 61(7): 070213, https://doi.org/10. 1007/s11432-017-9297-1. (Open access. Please go to the Journal to download the PDF for free.) (Open access. Please go to the Journal to download the PDF for free.)
  285. Mo, H., Li, M., Deng, F. and Mao,X., Exponential stability of the Euler-Maruyama method for neutral stochastic functional differential equations with jumps, Sci. China Inf. Sci. (2018) 61: 70214. https://doi.org/10.1007/s11432-017-9301-y.
  286. Fei, W., Hu, L., Mao, X. and Shen, M., Structured robust stability and boundedness of nonlinear hybrid delay systems, SIAM J. Control Optim. 56(4)(2018), 2662--2689.
  287. Li, Y., Lu, J., Kou, C., Mao, X. and Pan, J., Robust discrete-state-feedback stabilization of hybrid stochastic systems with time-varying delay based on Razumikhin technique, Statist. Probab. Lett. 139 (2018), 152--161.
  288. Shen, M., Fei, W., Mao, X. and Liang, Y., Stability of highly nonlinear neutral stochastic differential delay equations, Systems Control Lett. 115 (2018), 1--8.
  289. Wu. X., Tang, Y., Cao, J. and Mao, X., Stability analysis for continuous-time switched systems with stochastic switching signals, IEEE Trans. Automat. Control. 63(9)(2018), 3083--3090.
  290. Cai, Y. and Mao, X., Stochastic prey-predator system with foraging arena scheme, Applied Mathematical Modelling 64(2018), 357--371.
  291. Fei, C., Shen, M., Fei, W., Mao, X. and Yan, X., Stability of highly nonlinear hybrid stochastic integro-differential delay equations, Nonlinear Analysis: Hybrid Systems 31 (2019), 180--199.
  292. Li, M. Deng, F. and Mao, X., Basic theory and stability analysis for neutral stochastic functional differential equations with pure jumps, Sci. China Inf. Sci. 62(2019), no.1, 012204.
  293. Fei, C., Hu, L., Mao, X. and Shen, M, Generalised criteria on delay dependent stability of highly nonlinear hybrid stochastic systems, Int. J. Robust Nonlinear Control 29(2019), 1201--1215.
  294. Deng, S., Fei, W., Liang, Y. and Mao, X., Convergence of the split-step $\theta$-method for stochastic age-dependent population equations with Markovian switching and variable delay, Applied Numerical Mathematics 139(2019), 15--37.
  295. Cai, S., Cai, Y. and Mao, X., A stochastic differential equation SIS epidemic model with two independent Brownian motions, J. Math. Anal. Appl. 474(2019), 1536--1550.
  296. Deng, S., Fei, C., Fei, W. and Mao, X., Stability equivalence between the stochastic differential delay equations driven by $G$-Brownian motion and the Euler-Maruyama method, to appear in Appl. Math. Lett. 96 (2019), 138--146.
  297. Li, X., Mao, X. and Yin, G., Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in $p$th moment, and stability, IMA Journal of Numerical Analysis, 39(2) (2019), 847--892. (Open access. Please go to the Journal to download the PDF for free.) (Open access. Please go to the Journal to download the PDF for free.)
  298. Fei, C, Fei, W., Mao, X., Shen, M. and Yan, L., Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations, Journal of Applied Analysis and Computation 9(3) (2019), 1053--1070.
  299. Lu, Z., Hu, J. and Mao, X., Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations, Discrete Contin. Dyn. Syst. Ser. B. 24(8) (2019), 4099--4116.
  300. Deng, S., Fei, C., Fei, W. and Mao, X., Generalized Ait-Sahalia-type interest rate model with Poisson jumps and convergence of the numerical approximation, Physica A 533 (2019), 122057.
  301. Liu, L., Mao, X. and Cao, J., Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function, J. Math. Anal. Appl. 479 (2019), 1986--2006.
  302. Mao, W., Hu, L. and Mao, X., Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching, Electron. J. Qual. Theory Differ. Equ. 52 (2019), 1--17.
  303. Shen, M., Fei, C., Fei, W. and Mao, X., Boundedness and stability of highly nonlinear neutral stochastic systems with multiple delays, Sci. China Inf. Sci. 62(2019), No.10, 202205.
  304. Wang, Y., Wu, F. and Mao, X., Stability in distribution of stochastic functional differential equations, Systems Control Lett. 132 (2019), 104513. (Online PDF)
  305. Deng, S., Fei, W., Liu, W. and Mao, X., The truncated EM method for stochastic differential equations with Poisson jumps, J. Comput. Appl. Math. 355 (2019), 232--257.
  306. Mao, W., Hu, L., You, S. and Mao, X., The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients, Discrete Contin. Dyn. Syst. Ser. B. 25(9) (2019), 4937--4954.
  307. Cai, S., Cai, Y. and Mao, X., A stochastic differential equation SIS epidemic model with two correlated Brownian motions, Nonlinear Dynamics 97 (2019), 2175-2187.
  308. Hu, J., Liu, W., Deng, F. and Mao, X., Advances in stabilisation of hybrid stochastic differential equations by delay feedback control, SIAM J. Control Optim. 58(2)(2020), 735--754. (Online PDF)
  309. Wang, Y., Wu, F., Mao, X. and Zhu, E., Advances in the LaSalle-type theorems for stochastic functional differential equations with infinite delay, Discrete Contin. Dyn. Syst. Ser. B. 25(1) (2020), 287--300. (Online PDF)
  310. Mao, W., Hu, L. and Mao, X., The asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Levy noise, J. Franklin Inst. 357(2) (2020), 1174--1198.
  311. Fei, W., Hu, L., Mao, X. and Xia, D., Advances in the truncated Euler--Maruyama method for stochastic differential delay equations, Communications on Pure and Applied Analysis 19(4) (2020), 2081--2100.
  312. Liu, W., Mao, X., Tang, J. and Wu, Y., Truncated Euler-Maruyama method for classical and time-changed non-autonomous stochastic differential equations, Applied Numerical Mathematics 153 (2020), 66--81.
  313. Mei, C., Fei, C., Fei, W. and Mao, X., Stabilisation of highly nonlinear continuous-time hybrid stochastic differential delay equations by discrete-time feedback control, Control Theory \& Applications IET 14(2) (2020), 313--323.
  314. Liu, W. and Mao, X., Truncated methods for stochastic equations: A review, J. Anhui Polytechnical University 35(1) (2020), 1--11.
  315. Shen, M., Fei, W., Mao, X. and Deng, S., Exponential stability of highly nonlinear neutral pantograph stochastic differential equations, Asian J. Control. 22(1) (2020), 436--448.
  316. Mao, W., Hu, L. and Mao, X., Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay, Discrete Contin. Dyn. Syst. Ser. B. 25(8) (2020), 3217--3232.
  317. Dong, R., Mao, X. and Birrell, S.A., Exponential stabilisation of continuous-time periodic stochastic systems by feedback control based on periodic discrete-time observations, IET Control Theory Appl. 14(6) (2020), 909--919.
  318. Cai, Y., Cai, S. and Mao, X., Stochastic delay foraging arena predator-prey system with Markov switching, Sto. Anal. Appl. 38(2) (2020), 191--212.
  319. Fei, C., Fei, W., Mao, X., Xia, D. and Yan, L., Stabilisation of highly nonlinear hybrid systems by feedback control based on discrete-time state observations, IEEE Trans. Automat. Control. 65(7) (2020), 2899--2912. (Online PDF)
  320. Cai, Y., Cai, S. and Mao, X., Analysis of a stochastic predator-prey system with foraging arena scheme, Stochastics 92(2) (2020), 193--222.
  321. Li, X., Mao, X., Mukama, D. and Yuan, C., Delay feedback control for switching diffusion systems based on discrete time observations, SIAM J. Control Optim. 58(5) (2020), 2900--2926. (Online PDF)
  322. Dong, R. and Mao, X., Asymptotic stabilization of continuous-time periodic stochastic systems by feedback control based on periodic discrete-time observations, Math. Control Relat. Fields 10(4) (2020), 715--734.
  323. Yang, H., Wu, F., Kloeden, P.E. and Mao, X., The truncated Euler-Maruyama method for stochastic differential equations with Holder diffusion coefficients, J. Comput. Appl. Math. 366 (2020), 112379, 13 pp. (Online PDF)
  324. Li, X. and Mao, X., Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control, Automatica 112 (2020), 108657, 11 pp. (Online PDF)
  325. Shen, M., Fei, C., Fei, W. and Mao, X., Stabilisation by delay feedback control for highly nonlinear neutral stochastic differential equations, Systems Control Lett. 137 (2020), 104645, 8 pp.
  326. Cai, S., Cai, Y. and Mao, X., A stochastic differential equation SIS epidemic model with regime switching, Discrete Contin. Dyn. Syst. Ser. B. 26(9) (2021), 4887--4905.
  327. Li, X., Mao, X. and Yang, H., Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations, Mathematics of Computation 90(332) (2021), 2827--2872. (Online PDF)
  328. Coffie, E. and Mao, X., Truncated Euler-Maruyama method for generalised Ait-Sahalia-type interest rate model with delay, J. Comput. Appl. Math. 383 (2021), Paper No. 113137, 19 pp. (Online PDF)
  329. Li, X., Liu, W., Mao, X. and Zhao, J., Stabilization and destabilization of hybrid systems by periodic stochastic controls, Systems Control Lett. 152 (2021), Paper No. 104929, 10 pp. (Online PDF)
  330. Mao, X., Wei, F. and Wiriyakraikul, T., Positivity preserving truncated Euler--Maruyama method for stochastic Lotka--Volterra competition model, J. Comput. Appl. Math. 394 (2021), Paper No. 113566, 17 pp. (Online PDF)
  331. Mei, C., Fei, C., Fei, W. and Mao, X., Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay, Nonlinear Anal. Hybrid Syst. 40 (2021), Paper No. 101026, 17 pp.
  332. Deng, S., Fei, C., Fei, W. and Mao, X., Tamed EM schemes for neutral stochastic differential delay equations with superlinear diffusion coefficients, J. Comput. Appl. Math. 388 (2021), Paper No. 113269, 24 pp.
  333. Wu, A., You, S., Mao, W., Mao, X. and Hu, L., On exponential stability of hybrid neutral stochastic differential delay equations with different structures, Nonlinear Anal. Hybrid Syst. 39 (2021), Paper No. 100971, 17 pp.
  334. Mao, W., Jiang, Y., Hu, L. and Mao, X., Stabilization by intermittent control for hybrid stochastic differential delay equations, Discrete Contin. Dyn. Syst. Ser. B. 27(1) (2022), 569--581.
  335. Mei, C., Fei, C., Shen, M., Fei, W. and Mao, X., Stabilization in distribution of hybrid stochastic differential equations by feedback control based on discrete-time state observations, Information Sciences 592 (2022), 123--136. (Online PDF)
  336. Li, Y., Mao, X., Song, Y. and Tao, J., Optimal investment and proportional reinsurance strategy under the mean-reverting Ornstein-Uhlenbeck process and net profit condition, J. Ind. Manag. Optim. 18(1) (2022), 75--93.
  337. Dong, H. and Mao, X., Advances in stabilisation of highly nonlinear hybrid delay systems, Automatica 136(2022), 110086. (Online PDF)
  338. You, S., Hu, L., Lu, J. and Mao, X., Stabilisation in distribution by delay feedback control for hybrid stochastic differential equations IEEE Trans. Auto. Control. (2022) 67(2) (2022), 971-977. (Online PDF)
  339. Lu, J., Li, Y., Mao, X. and Pan, J., Stabilization of nonlinear hybrid stochastic delay systems by feedback control based on discrete-time state and mode observations, Appl. Anal. 101(3) (2022), 1077--1100.
  340. Fei, C., Fei, W., Mao, X. and Yan, L., Delay-dependent asymptotic stability of highly nonlinear stochastic differential delay equations driven by G-Brownian motion, J. Franklin Inst. 359 (2022), 4366--4392.
  341. Li., X., Liu, W., Luo, Q. and Mao, X., Stabilisation in distribution of hybrid stochastic differential equations by feedback control based on discrete-time state observations, Automatica 140 (2022), Paper No. 110210, 8 pp.
  342. Shi, B., Mao, X. and Wu, F., Stabilisation of hybrid system with different structures by feedback control based on discrete-time state observations, Nonlinear Anal. Hybrid Syst. 45 (2022), 101198.
  343. Li, W., Deng, S., Fei, W. and Mao, X., Stabilisation in distribution by delay feedback control for stochastic differential equations with Markovian switching and Lévy noise, IET Control Theory Appl. 16(13) (2022), 1312--1325.
  344. Cai, Y., Hu, J. and Mao, X., Positivity and boundedness preserving numerical scheme for the stochastic epidemic model with square-root diffusion term, Appl. Numer. Math. 182 (2022), 100--116.
  345. Shen, M., Fei, C., Fei, W., Mao, X. and Mei, C., Delay-dependent stability of highly nonlinear neutral stochastic functional differential equations. Internat. J. Robust Nonlinear Control 32(18) (2022), 9957--9976.
  346. Dong, H., Tang, J. and Mao, X., Stabilization of highly nonlinear hybrid stochastic differential delay equations with Levy noise by delay feedback control, SIAM J. Control Optim. 60(6) (2022), 3302--3325.
  347. Li, D., Wei, F. and Mao, X., Stationary distribution and density function of a stochastic SVIR epidemic model, J. Franklin Inst. 359(16) (2022), 9422--9449.
  348. Liu, W., Mao, X. and Wu, Y., The backward Euler-Maruyama method for invariant measures of stochastic differential equations with super-linear coefficients, Appl. Numer. Math. 184 (2023), 137--150.
  349. Hu, J., Mao, W. and Mao, X., Advances in nonlinear hybrid stochastic differential delay equations: existence, boundedness and stability, Automatica 147 (2023), Paper No. 110682, 12 pp.
  350. Fei, C., Fei, W. and Mao, X., A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with G-Brownian motion, Appl. Math. Lett. 136 (2023), Paper No. 108448, 9 pp.
  351. Mao, W., You, S., Jiang, Y. and Mao, X., Stochastic stabilization of hybrid neural networks by periodically intermittent control based on discrete-time state observations, Nonlinear Anal. Hybrid Syst. 48 (2023), Paper No. 101331, 18 pp.
  352. Zhai, Z., Li. W., Wei, F. and Mao, X., Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations, Chaos Solitons Fractals 169 (2023), Paper No. 113224, 13 pp. \item Bahar, A., Dong, R. and Mao, X., Stabilisation in distribution of hybrid ordinary differential equations by periodic noise, IET Control Theory Appl. 17 (2023), 463--476.
  353. Fei, C., Fei, W., Deng, S. and Mao, X., Asymptotic stability in distribution of highly nonlinear stochastic differential equations with G-Brownian motion, Journal Qualitative Theory of Dynamical Systems 22 (2023), no. 2, Paper No. 57, 16 pp.
  354. Shi, B., Mao, X. and Wu, F., Stabilisation with general decay rate by delay feedback control for nonlinear neutral stochastic functional differential equations with infinite delay, Systems Control Lett. 172 (2023), Paper No. 105435, 15 pp.
  355. Li, Y., Mao, X., Song, Q., Wu, F. and Yin, G., Strong convergence of Euler-Maruyama schemes for McKean-Vlasov stochastic differential equations under local Lipschitz conditions of state variables, IMA Journal of Numerical Analysis 43 (2023), 1001--1035. (Online PDF)
  356. Mao, W., Hu, J., and Mao, X., Stabilisation in distribution of hybrid systems by intermittent noise, IEEE Trans. Auto. Control. 68(8) (2023), 4919--4924.
  357. Jiang, Y, Hu, L., Mao, W., Lu, J. and Mao, X., Stabilization in distribution of hybrid stochastic systems by intermittent feedback controls Nonlinear Anal. Hybrid Syst. 48 (2023), Paper No. 101374, 16 pp.
  358. Li, G., Li, X., Mao, X. and Song, G., Hybrid stochastic functional differential equations with infinite delay: Approximations and numerics, J. Differential Equations 374 (2023), 154--190.
  359. Cai, Y., Guo, Q. and Mao, X., Positivity preserving truncated scheme for the stochastic Lotka–Volterra model with small moment convergence. Calcolo 60(2) (2023), Paper No. 24, 21 pp.
  360. Mao, W., Chen, B., Wu, F. and Mao, X., On the existence and asymptotic stability of hybrid stochastic systems with neutral term and non-differentiable time delay, Systems Control Lett. 178 (2023), Paper No. 105586, 12 pp.
  361. Li, W., Fei, W., Liang, Y. and Mao, X., Stabilization and destabilization of hybrid systems by periodic stochastic controls based on L\'evy noise, IMA J. Math. Control Inform. 40(2) (2023), 232--252.
  362. Li, W., Fei, C., Mei, C., Fei, W. and Mao, X., Delay tolerance for stable hybrid stochastic differential equations with L\'evy noise based on Razumikhin technique, Systems Control Lett. 176 (2023), Paper No. 105530, 8 pp.
  363. Li, Y., You, S., Lu, J., Jiang, Y., Hu, L. and Mao, X., Stabilization in distribution by delay feedback controls for hybrid stochastic delay differential equations, Internat. J. Systems Sci. 54(5) (2023), 1070--1086.
  364. Li, Y., Dong, R. and Mao, X., Discrete-time feedback control for highly nonlinear hybrid stochastic systems with non-differentiable delays, Systems Control Lett. 175 (2023), Paper No. 105507, 13 pp.
  365. Xu, H. and Mao, X., Advances in discrete-state-feedback stabilization of highly nonlinear hybrid systems by Razumikhin technique, IEEE Trans. Auto. Control. 68(10) (2023), 6098--6113.
  366. Deng, S., Fei, C., Fei, W. and Mao, X., Positivity-preserving truncated Euler-Maruyama method for generalised Ait-Sahalia-type interest model, BIT 63(4) (2023), Paper No. 59, 29 pp.
  367. Deng, S., Fei, C., Fei, W. and Mao, X., The truncated EM method for jump-diffusion SDDEs with super-linearly growing diffusion and jump coefficients, J. Comp. Math. 42(1) (2024), 178--216.
  368. Li, W., Cai, S., Zhai, Z., Ou, J., Zheng, K., Wei, F. and Mao, X., Transmission dynamics of symptom-dependent HIV/AIDS models, Math. Biosci. Eng. 21(2) (2024), 1819--1843.
  369. Shi, B., Wang, Y., Mao, X. and Wu, F., Approximation of invariant measures of a class of backward Euler-Maruyama scheme for stochastic functional differential equations, J. Differential Equations 389(2024), 415--456.
  370. Xu, H. and Mao, X., Structured stabilisation of superlinear delay systems by bounded discrete-time state feedback control, Automatica 159 (2024), Paper No. 111409, 8 pp.
  371. Cui, Y., Li, X., Mao, X. and Yang, Y., Wolbachia invasion to wild mosquito population in stochastic environment, J. Differential Equations 378 (2024), 360--398.
  372. Cai, Y., Guo, Q. and Mao, X., Strong convergence of an explicit numerical approximation for n-dimensional superlinear SDEs with positive solutions, Math. Comput. Simulation 216 (2024), 198--212.
  373. Cai, Y., Mao, X. and Wei, F., An advanced numerical scheme for multi-dimensional stochastic Kolmogorov equations with superlinear coefficients, J. Comput. Appl. Math. 437 (2024), Paper No. 115472, 18 pp.

    Papers Published in Refereed Proceedings or Books:

  374. Mao, X., Exponential stability of delay Ito's equations, Proceedings of ICCON'89 IEEE International Conference on Control and Applications, April 1989, Israel, RA-6-5, 1-5.
  375. Mao, X., Lyapunov functions and almost sure exponential stability, Proceedings of Lyapunov Exponents-Oberwolfach 1990, Lect. Notes Math. 1486 (1991), 165-177.
  376. Mao, X., Lyapunov functions and almost sure polynomial stability, in Stochastics and Quantum Mechanics edited by A. Truman and I. M. Davis, World Scientific, 1992, 189-204.
  377. Mao, X., Exponential stability of large-scale stochastic systems, Proceedings of the 1992 Symposium on Applied Mathematics for Young Chinese Scholars, Beijing, 10-16/7/92.
  378. Mao, X., Exponential stability of large-scale stochastic differential delay equations, Proceedings of the First Chinese World Congress on Intelligent Control and Intelligent Automation, Beijing 93, SA-PM1-2.
  379. Mao, X., A necessary and sufficient condition for exponential stability of large-scale stochastic delay systems in hierarchical form, in Differential Equations, Dynamical Systems and Control Science edited by K. D. Elworthy et al., Marcel Dekker, 1993, 193-211.
  380. Mao, X., Backward stochastic differential equations and quasilinear partial differential equations, Stochastic Partial Differential Equations edited by A. M. Etheridge, Cambridge University Press, 1995, 189-208.
  381. Mao, X., Pth moment exponential stability of large-scale stochastic delay systems in hierarchical form, Differential equations and Control Theory edited by Z. Deng et al., Marcel Dekker, 1995, 213-229.
  382. Mao, X., Exponetial stability in mean square of neutral stochastic differential equations, (in Applied Stochastics and Optimization, Issue 3 of the special issues of ZAMM) ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, Vol.76, No.S3, 243-246
  383. Liao, X.X. and Mao, X., Exponential stability in mean square of stochastic neural networks with delays, in the Proceedings of SYSID'97 SICE (Japan), Vol.3, 841-846.
  384. Mao, X., Stochastic functional differential equations with Markovian switching, Proceedings of CESA'98, Vol.2, 254-259. (pdf file)
  385. Kolmanovskii, V.B., Koroleva, N.I. and Mao, X., The control of bilinear microbiological model with delay under random perturbation, Proceedings of CESA'98, Vol.1, 839-843. (pdf file)
  386. Mao, X., Lyapunov's second method for stochastic differential equations, the Proceedings of International Conference on Differential Equations (Berlin, 1999) edited by B. Fiedler, K. Groger and J. Sprekels, Vol.1, 136-141, World Scientific, 2000. (pdf file)
  387. Stability of stochastic differential delay equations with Markovian switching, the Proceedings of CCC'2000 (6-8 Dec. 2000, Hong Kong), Vol.1, 76-80. (pdf file)
  388. Koroleva N., Mao X., Rodkina A., Mathematical delay model under random perturbation of the processes in the pulmonary tract under limited external action of the inhalation type, Proc. prep. of 3rd IFAC Workshop on Time Delay Systems (8--10 Dec. 2001, Santa Fe, New Mexico, USA), 284-289.
  389. Fu, Y. and Mao, X., Noise-to-state stability for stochastic Hopefield neural networks with delays, Cybernetics and Systems edited by R. Trappl, Vol.2 , 590-595, Austrian Society for Cybernetic Studies, 2002. (pdf file)
  390. Mao, X., Stochastic stability and stablizatioin, Proceedings of the 2002 International Conference on Control and Automation, Xiamen, China, June 2002, 1208-1212. (pdf file)
  391. Mao, X., Asymptotic stability for SDEs with Markov switching, Proceedings of the 6th WSEAS International Multiconference CSCC, Rethymno, Crete, July 2002, 6191-6196.
  392. Mao, X., Stability of numerical solutions to stochastic differential delay equations, Proceedings of the 7th World Multiconference on Systemics, Cybernetics and Informatics, Orlando, Florida, USA, July 2003, 284--289.
  393. Koroleva, N., Mao, N. and Sergeyuk, N., Numerical simulation of the processes in the pulmonary tract with delay under random perturbation, Proceedings of the 7th World Multiconference on Systemics, Cybernetics and Informatics, Orlando, Florida, USA, July 2003, 290--293.
  394. Rodkina, A. and Mao, X., On Asymptotic Behaviour of Solutions to Nonlinear Difference Equation with Nonmartingale Type Noise, in the book entitled "Advance in Mathematics Research" Vol.6 edited by G. Oyibo, Nova Science Publishers, 2005, pp.97--120.
  395. Mao, X., Stochastic differential delay equations and their applications, in the book entitled "Stochastic Differential Equations and Related Topics" edited by L. Hu, Z. Chen and X. Mao, Science Press Beijing, 2007,14--34.
  396. Feng, L., Li, Y., Mao, X. and Huang, Z., Stochastic modelling and simulations of structured investment plans, in the book entitled "Brownian Motion: Elements, Dynamics and Applications" edited by M. McKibben and M. Webster, Nova Science Publishers, 2015, 1--22.
e-mail: xuerong@stams.strath.ac.uk
http://www.stams.strath.ac.uk/~xuerong/pubpapers