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
收藏
页码：515 / 526
页数：12
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