Switching design for exponential stability of a class of nonlinear hybrid time-delay systems

被引：57
|
作者：
Phat, V. N. [2 ]
Botmart, T. [1 ]
Niamsup, P. [1 ]
机构：
[1] Chiang Mai Univ, Dept Math, Chiang Mai 50200, Thailand
[2] Inst Math, Hanoi 10307, Vietnam
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2009年 / 3卷 / 01期
关键词：
Switching system; Exponential stability; Nonlinear perturbation; Time-varying delay; Riccati equation; STABILIZATION;
D O I：
10.1016/j.nahs.2008.10.001
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 addresses the exponential stability for a class of nonlinear hybrid time-delay systems. The system to be considered is autonomous and the state delay is time-varying. Using the Lyapunov functional approach combined with the Newton-Leibniz formula, neither restriction on the derivative of time-delay function nor bound restriction on nonlinear perturbations is required to design a switching rule for the exponential stability of nonlinear switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of algebraic Riccati equations, which allows computing simultaneously the two bounds that characterize the stability rate of the solution. A simple procedure for constructing the switching rule is also presented. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 10
页数：10
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