Robust exponential stability criteria of uncertain stochastic systems with time-varying delays

被引：9

作者：

Li, Yumei ^{[1
,2
]}

Guan, Xinping ^{[1
]}

Luo, Xiaoyuan ^{[1
]}

机构：

[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China

[2] Xinjiang Univ, Inst Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2011年 / 42卷 / 04期

基金：

中国国家自然科学基金;

关键词：

stochastic systems; exponential stability in mean square; time-varying delays; linear matrix inequality; H-INFINITY CONTROL; STABILIZATION;

D O I：

10.1080/00207720802645212

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 article investigates the problem of delay-dependent exponential stability in mean square for continuous-time linear stochastic systems with structured uncertainties and time-varying delays. By applying descriptor model transformation of the systems, a new type of Lyapunov-Krasovskii functional is constructed, and by introducing some free weighting matrices, some new delay-dependent and delay-independent stability criteria are derived respectively in terms of an LMI algorithm. The new stability criteria are less conservative than existing results. Numerical examples demonstrate that the new criteria are effective and are an improvement over existing results.

引用

页码：601 / 608

页数：8

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