A novel result on stability analysis for uncertain neutral stochastic time-varying delay systems

被引：44

作者：

Deng, Feiqi ^{[1
]}

Mao, Weihua ^{[1
,2
]}

Wan, Anhua ^{[3
]}

机构：

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

[2] South China Agr Univ, Dept Math, Guangzhou 510642, Guangdong, Peoples R China

[3] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 221卷

基金：

中国国家自然科学基金;

关键词：

Stochastic neutral systems; Generalized Finsler lemma; Delay-dependent; Mean-square exponentially stable; Linear matrix inequality; Orthogonal complement; DEPENDENT ROBUST STABILITY; H-INFINITY CONTROL; EXPONENTIAL STABILITY; NEURAL-NETWORKS; CRITERIA; DESIGN;

D O I：

10.1016/j.amc.2013.05.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the mean-square exponential stability analysis for uncertain neutral linear stochastic time-varying delay systems. By Lyapunov-Krasovskii theory and linear matrix inequality method, under the generalized Finsler lemma (GFL) framework, delay-dependent mean-square exponential stability criteria are established without involving model transformation, cross-terms bounding technique or additional free-weighting matrix. Moreover, GFL is also employed to obtain stability criteria for a class of uncertain linear stochastic neutral systems with different discrete and neutral delays. Numerical examples are presented to verify that the proposed approach is both less conservative and less computationally complex than the existing results. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：132 / 143

页数：12

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