Uniform asymptotic stability of impulsive delay differential equations

被引：227

作者：

Liu, XZ ^{[1
]}

Ballinger, G ^{[1
]}

机构：

[1] Univ Waterloo, Fac Math, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 41卷 / 7-8期

基金：

加拿大自然科学与工程研究理事会;

关键词：

stability; impulsive delay differential equations; Razumikhin technique;

D O I：

10.1016/S0898-1221(00)00328-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, criteria on uniform asymptotic stability are established for impulsive delay differential equations using Lyapunov functions and Razumikhin techniques. It is shown that impulses do contribute to yield stability properties even when the underlying system does not enjoy any stability behavior. Some examples are also discussed to illustrate the theorems. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：903 / 915

页数：13

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