Robust exponential stability and delayed-state-feedback stabilization of uncertain impulsive stochastic systems with time-varying delay

被引：27

作者：

Cheng, Pei ^{[1
]}

Deng, Feiqi ^{[2
]}

Peng, Yunjian ^{[2
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

[2] S China Univ Technol, Syst Engn Inst, Guangzhou 510640, Guangdong, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Impulsive stochastic systems; Time-varying delay; Exponential stability; Razumikhin techniques; Delayed-state-feedback stabilization; H-INFINITY-CONTROL; HOPFIELD NEURAL-NETWORKS; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; NEUTRAL-TYPE; DESIGN;

D O I：

10.1016/j.cnsns.2012.03.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the problem of robust exponential stability and delayed-state-feedback stabilization of uncertain impulsive stochastic systems with time-varying delay. The state variables on the impulses are assumed dependent on the present state variables as well as delayed state variables. Based on the Razumikhin techniques and Lyapunov functions, some robust mean-square exponential stability criteria are derived in terms of linear matrix inequalities. The results show that the system will stable if the impulses' frequency and amplitude are suitably related to the increase or decrease of the continuous flows. Furthermore, the robust delayed-state-feedback controllers that mean-square exponentially stabilize the uncertain impulsive stochastic systems are proposed. Finally, several numerical examples are given to show the effectiveness of the results. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：4740 / 4752

页数：13

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