Global mean-square exponential stabilization of stochastic system with time delay via impulsive control

被引：16

作者：

Peng, Shiguo ^{[1
]}

Zhang, Yun ^{[1
]}

Yu, Siming ^{[1
]}

机构：

[1] Guangdong Univ Technol, Fac Automat, Guangzhou 510006, Guangdong, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2012年 / 14卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Stochastic system; time delay; mean-square exponential stabilization; impulsive control; STATE-FEEDBACK CONTROL; DIFFERENTIAL-EQUATIONS; STABILITY ANALYSIS; CHAOTIC SYSTEMS; SECURE COMMUNICATION; VARYING DELAY; NOISE; SYNCHRONIZATION;

D O I：

10.1002/asjc.235

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper discusses the global mean-square exponential stabilization problem for a class of nonlinear non-autonomous stochastic systems with time delay via impulsive controller. By employing the D-measure of the matrix and establishing a formula for the variation of parameters, some sufficient conditions are proposed for the design of an impulsive controller such that the stochastic impulsive control system with time varying system matrix and time delay is globally mean-square exponentially stable. Some numerical examples are presented to illustrate the effectiveness of the proposed results.

引用

页码：288 / 299

页数：12

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