Exponential stability criterion for time-delay systems with nonlinear uncertainties

被引：8
|
作者：
Nam, Phan T. [1 ]
机构：
[1] Quynhon Univ, Dept Math, Binhdinh, Vietnam
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 214卷 / 02期
关键词：
Exponential stability; Time-delays; Nonlinear uncertainties; Lyapunov function; Linear matrix inequality; ROBUST STABILIZATION; VARYING DELAYS; LINEAR-SYSTEMS; DYNAMIC-SYSTEMS;
D O I：
10.1016/j.amc.2009.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Exponential stability of time-delay systems with nonlinear uncertainties is studied in this paper. Based on the Lyapunov method and the approaches of decomposing the matrix, a new exponential stability criterion is derived in terms of a matrix inequality, which allows to compute simultaneously the two bounds that characterize the exponential nature of the solution. Some numerical examples are also given to show the superiority of our result to those in the literature. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：374 / 380
页数：7
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