Stochastic asymptotical stability for stochastic impulsive differential equations and it is application to chaos synchronization

被引：15
|
作者：
Niu, Yujun [1 ]
Liao, Dong [2 ]
Wang, Pei [3 ]
机构：
[1] Nanyang Inst Technol, Dept Appl Math, Nanyang 473004, Peoples R China
[2] Nanyang Normal Univ, Dept Math & Stat, Nanyang 473001, Peoples R China
[3] Xian Univ Finance & Econ, Dept Stat, Xian 710110, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Stochastic asymptotical stability; Stochastic impulsive differential equations; Chaos synchronization;
D O I：
10.1016/j.cnsns.2011.07.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the stochastic asymptotical stability of stochastic impulsive differential equations is studied, and a comparison theory about the stochastic asymptotical stability of trivial solution is established. From the comparison theory, we can find out whether the stochastic impulsive differential system is stochastic asymptotically stable by studying the stability of a deterministic comparison system. As an application of this theory, we study the problem of chaos synchronization in Chua circuit using impulsive method. Finally, numerical simulation is employed to verify the feasibility of our method. (C) 2011 Elsevier B.V. All rights reserved.
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页码：505 / 512
页数：8
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