Improved Delay-dependent Stability Criteria for Stochastic Systems with Time Delay and Uncertainties

被引：0

作者：

Liu Juan ^{[1
]}

Qian Wei ^{[2
]}

Fei Shumin ^{[3
]}

机构：

[1] Henan Polytech Univ, Dept Math & Informat Sci, Jiaozuo 454000, Peoples R China

[2] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Peoples R China

[3] Southeast Univ, Dept Automat, Nanjing 210096, Jiangsu, Peoples R China

来源：

PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE | 2010年

关键词：

Stochastic Systems; Time Delay; Uncertainty; Robust Stability; Linear Matrix Inequality (LMI); H-INFINITY CONTROL; EXPONENTIAL STABILITY; ROBUST STABILITY; INTERVAL SYSTEMS; VARYING DELAY; STABILIZATION;

D O I：

暂无

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 is concerned with the robust asymptotical stability in mean square for stochastic systems with time delay and two kinds of uncertainties. Firstly, a Lyapunov-Krasoskii functional of more complete form is constructed. Then, in order to establish the robust stability criteria for stochastic time-delay systems with two kinds of uncertainties in the same frame, a new variable is introduced to replace the uncertainties and slack matrices are used. Based on Ito calculus rules, the action of the infinitesimal generator of Ito diffusion on the constructed functional is computed and the novel delay-dependent sufficient conditions is obtained in terms of LMIs. Numerical examples are given to illustrate that the results presented in this paper are effective and less conservative than the existing ones.

引用

页码：880 / 884

页数：5

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