Robust Delay-dependent Exponential Stability of Uncertain Stochastic System with Time-varying Delay

被引：18

作者：

Hua, Mingang ^{[1
,2
]}

Deng, Feiqi ^{[3
]}

Liu, Xinzhi ^{[1
]}

Peng, Yunjian ^{[3
]}

机构：

[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[2] Hohai Univ, Coll Comp & Informat, Changzhou 213022, Peoples R China

[3] S China Univ Technol, Coll Automat Sci & Engn, Guangzhou 510640, Guangdong, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2010年 / 29卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Stochastic system; Exponential stability; Linear matrix inequality (LMI); IMPULSIVE SYSTEMS; CRITERIA; STABILIZATION;

D O I：

10.1007/s00034-010-9159-7

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper discusses the problem of robust delay-dependent exponential stability for a class of uncertain stochastic systems with time-varying delay. The uncertainty is assumed to be of norm-bounded form. A less conservative robust exponential stability condition is derived by using a new Lyapunov-Krasovskii functional and a free-weighting matrix method in terms of linear matrix inequalities. Two numerical examples are given to illustrate the effectiveness of the proposed method.

引用

页码：515 / 526

页数：12

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