Delay-dependent Exponential Stability of Uncertain Stochastic Systems with Time-varying Delay and Nonlinearities

被引：0

作者：

Yan Huaicheng ^{[1
]}

Meng Max Q.-H. ^{[1
]}

Zhang Hao ^{[2
]}

Huang Xinhan ^{[3
]}

机构：

[1] Chinese Univ Hong Kong, Dept Elect Engn, Shatin, Hong Kong, Peoples R China

[2] Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China

[3] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

来源：

PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2 | 2008年

关键词：

Delay-dependent criteria; Stochastic systems; Robust stability; LMIs; Time-varying delay;

D O I：

10.1109/CHICC.2008.4605678

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 deals with the problem of delay-dependent exponential stability in the mean square for a class of uncertain stochastic systems with time-varying delay and nonlinearities. By using Lyapunov-Krosovskii functional method combined with linear matrix inequalities (LMIs) techniques, some new delay-dependent stability criteria in terms of LMIs are derived by introducing some free weighting matrices which can be selected properly to lead to less conservative results. Maximum allowable delay bound (MADB) to guarantee the exponential stability of the systems can be obtained effectively by solving a set of LMIs. Numerical example and simulation are given to show that the proposed methods are effective and are much less conservative than some existing results.

引用

页码：136 / +

页数：2

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