Q. Zhang. Stock trading: An optimal selling rule[J]. SIAM Journal on Control and Optimization, 2001, 40(1): 64–87.
G. Yin, V. Krishnamurthy. Least mean square algorithms with Markov regime switching limit[J]. IEEE Transactions on Automatic Control, 2005, 50(5): 577–593.
Y. Ji, H. J. Chizeck. Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control[J]. IEEE Transactions on Automatic Control, 1990, 35(4): 777–788.
X. Mao. Stability of Stochastic Differential Equations with Respect to Semimartingales[M]. London: Longman, 1991.
X. Mao. Stability of stochastic differential equations with Markovian switching[J]. Stochastic Processes and Their Applications, 1999, 79(1): 45–67.
C. Yuan, X. Mao. Asymptotic stability in distribution of stochastic differential equations with Markovian switching[J]. Stochastic Processes and Their Applications, 2003, 103(2): 277–291.
X. Mao, G. Yin, C. Yuan. Stabilization and destabilization of hybrid systems of stochastic differential equations[J]. Automatica, 2007, 43(2): 264–273.
R. Z. Khasminskii. Stochastic Stability of Differential Equations[M]. Netherlands: Sijthoff and Noordhoff, Alphen aan den Rijn, 1980.
H. J. Kushner. Stochastic Stability and Control[M]. New York: Academic Press, 1967.
J. P. LaSalle, S. Lefschetz. Stability by Lyapunov’s Direct Method with Applications[M]. New York: Academic Press, 1961.
A. A. Martynyuk. Methods and problems of practical stability of motion theory[M]// Nonlinear Vibribration Problems. Http://adsabs.harvard.edu/abs/1984ZaDN···22···9M. 1984, 22: 19–46.
V. Lakshmikantham, S. Leela, A. A. Martynyuk. Practical Stability of Nonlinear Systems[J]. Singapore: World Scientific, 1990.
Z. Feng, Y. liu, F. Guo. Criteria for practical stability in the p-th mean of nonlinear stochastic systems[J]. Applied Mathematics Computation, 1992, 49(2,3): 251–260.
A. H. Tsoi, B. Zhang. Practical stability of Itô’s type nonlinear stochastic differential systems and related control problems[J]. Dynamic Systems Applications, 1997, 6(1): 107–124.
G. Zhai, A. N. Michel. On practical stability of switched systems[C]// Proceedings of the 41st IEEE Conference Decision Control. Piscataway, NJ: IEEE, 2002: 3488–3493.
M. Lewin. On the boundedness, recurrence and stability of solutions of an Ito equation perturbed by a Markov chain[J]. Stochastic Analalysis and Applications, 1986, 4(4): 431–487.
A. V. Skorohod. Asymptotic Methods in the Theory of Stochastic Differential Equations[M]. Providence, RI: American Mathematical Society, 1989.
C. Zhu, G. Yin. Asymptotic properties of hybrid diffusion systems[J]. SIAM Journal on Control and Optimization, 2007, 46(4): 1155–1179.
T. Björk. Finite dimensional optimal filters for a class of Itô processes with jumping parameters[J]. Stochastics, 1980, 4(2): 167–183.
R. Z. Khasminskii, C. Zhu, G. Yin. Stability of regime-switcing diffusions[J]. Stochastic Processes and Their Applications, 2007, 117(6): 1037–1051.
H. J. Kushner. Introduction to Stochastic Control[M]. New York: Holt, Rinehart and Winston, 1971.
C. Zhu, G. Yin, Q. Song. Stability of random-switching systems of differential equations[J]. Quaterly of Applied Mathematics, 2008 (to appear).
A. M. Il’in, R. Z. Khasminskii, G. Yin. Asymptotic expansions of solutions of integro-differential equations for transition densities of singularly perturbed switching diffusions: rapid switchings[J]. Journal of Mathematical Analysis and Applications, 1999, 238(2): 516–539.
R. Z. Khasminskii, G. Yin. Asymptotic behavior of parabolic equations arising from one-dimensional null-recurrent diffusions[J]. Journal of Differential Equations, 2000, 161(1): 154–173.
R. Z. Khasminskii, C. Zhu, G. Yin. Asymptotic properties of parabolic systems for null-recurrent switching diffusions[J]. Acta Mathematicae Applicatae Sinica, 2007, 43(2): 177–194.