An improved criterion for exponential stability of linear systems with multiple time delays

被引：6

作者：

Nam, Phan T. ^{[1
]}

机构：

[1] Quynhon Univ, Dept Math, Binhdinh 84, Vietnam

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 202卷 / 02期

关键词：

exponential stability; time delays; Lyapunov functional; linear matrix inequalities;

D O I：

10.1016/j.amc.2008.03.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Exponential stability of linear systems with multiple time delays is studied in this paper. By using an improved Lyapunov functional, we have obtained an improved criterion, which is strictly less conservative than the very recent criterion in Ren and Cao [Fengli Ren, Jinde Cao, Novel alpha-stability of linear systems with multiple time delays, Appl. Math. Comput. 181 ( 2006), 282-290], and an estimation of Lyapunov factor. A numerical example is also given to shown the superiority of our result to those in the literature. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：870 / 876

页数：7

共 10 条

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[2] Exponential stability criteria of uncertain systems with multiple time delays [J].