Novel α-stability criterion of linear systems with multiple time delays

被引：15

作者：

Ren, Fengli ^{[1
]}

Cao, Jinde ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 01期

基金：

中国国家自然科学基金;

关键词：

exponential stability; time delays; Lyapunov functional; linear matrix inequality; alpha-stability;

D O I：

10.1016/j.amc.2006.01.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the alpha-stability is discussed for a class of linear systems with multiple time delays. Based on the Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) technique, new sufficient condition is derived for the exponential stability with a given convergence rate. The obtained result is less conservative than those in the literature. Two numerical examples are given to illustrate the superiority of our one to the previous. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：282 / 290

页数：9

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