This paper studies the stochastic asymptotical stability of stochastic impulsive differential equations, and establishes a comparison theory to ensure the trivial solution＇s stochastic asymptotical stability. From th...This paper studies the stochastic asymptotical stability of stochastic impulsive differential equations, and establishes a comparison theory to ensure the trivial solution＇s stochastic asymptotical stability. From the comparison theory, it can find out whether the stochastic impulsive differential system is stable just by studying the stability of a deterministic comparison system. As a general application of this theory, it controls the chaos of stochastic Lii system using impulsive control method, and numerical simulations are employed to verify the feasibility of this method.展开更多
Practical stability problems of single dynamic system with impulsive solutions are considered in this paper. Using comparison principle, a class of Vk functions and impulsive differential inequalities, the criteria o...Practical stability problems of single dynamic system with impulsive solutions are considered in this paper. Using comparison principle, a class of Vk functions and impulsive differential inequalities, the criteria of practical stability, practical uniform stability and practical instability of such kind of system are obtained and proved. The results which are obtained here have improved on the results in reference [5]展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No. 10902085)
文摘This paper studies the stochastic asymptotical stability of stochastic impulsive differential equations, and establishes a comparison theory to ensure the trivial solution＇s stochastic asymptotical stability. From the comparison theory, it can find out whether the stochastic impulsive differential system is stable just by studying the stability of a deterministic comparison system. As a general application of this theory, it controls the chaos of stochastic Lii system using impulsive control method, and numerical simulations are employed to verify the feasibility of this method.
文摘Practical stability problems of single dynamic system with impulsive solutions are considered in this paper. Using comparison principle, a class of Vk functions and impulsive differential inequalities, the criteria of practical stability, practical uniform stability and practical instability of such kind of system are obtained and proved. The results which are obtained here have improved on the results in reference [5]
