Robust exponential stability of impulsive switched systems with switching delays: A Razumikhin approach

被引：35
|
作者：
Liu, Xiu [1 ]
Zhong, Shouming [1 ,2 ]
Ding, Xiuyong [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Minist Educ, Key Lab Neuroinformat, Chengdu 610054, Sichuan, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Impulsive systems; Switched systems; Minimum dwell time; Exponential stability; Razumikhin method; STABILIZATION; CRITERIA;
D O I：
10.1016/j.cnsns.2011.09.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we focus on the robust exponential stability of a class of uncertain nonlinear impulsive switched systems with switching delays. We introduce a novel type of piecewise Lyapunov-Razumikhin functions. Such functions can efficiently eliminate the impulsive and switching jump of adjacent Lyapunov functions at impulsive switching instants. By Razumikhin technique, the delay-independent criteria of exponential stability are established on the minimum dwell time. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained theoretical results. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：1805 / 1812
页数：8
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