Further results on exponential stability for impulsive switched nonlinear time-delay systems with delayed impulse effects

被引：100

作者：

Gao, Lijun ^{[1
]}

Wang, Dandan ^{[1
]}

Wang, Gang ^{[2
]}

机构：

[1] Qufu Normal Univ, Dept Automat, Rizhao 276826, Shandong, Peoples R China

[2] Qufu Normal Univ, Sch Management Sci, Rizhao 276826, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 268卷

基金：

中国博士后科学基金;

关键词：

Exponential stability; Impulsive switched systems; Delayed impulse; Switching signal; Lyapunov-Krasovskii functionals; DIFFERENTIAL-EQUATIONS; JUMP SYSTEMS; STABILIZATION;

D O I：

10.1016/j.amc.2015.06.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the problem of exponential stability for a class of impulsive switched nonlinear tune-delay systems with delayed impulse effects. By using the multiple Lyapunov-Krasovskii functionals technique, some exponential stability criteria are obtained, respectively, for two kinds of impulsive signals (destabilizing impulsive signal and stabilizing iinpulsive signal). The derived results not only characterise the effects of delayed impulse, time delay and switching on nonlinear systems, but also remove some restriction conditions. Furthermore, a more precise bound of system state is given. Compared with existing results on related problems, the obtained results are less conservative. Three examples are provided to illustrate the effectiveness and the generality of the proposed results. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：186 / 200

页数：15

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