Razumikhin-type theorems on exponential stability of impulsive infinite delay differential systems

被引：41

作者：

Fu, Xilin ^{[1
]}

Li, Xiaodi ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 224卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Razumikhin technique; Lyapunov function; Impulsive infinite delay differential systems; Exponential stability; EQUATIONS; BOUNDEDNESS; CRITERIA;

D O I：

10.1016/j.cam.2008.03.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we study the exponential stability of impulsive functional differential systems with infinite delays by using the Razumikhin technique and Lyapunov functions. Several Razumikhin-type theorems on exponential stability are obtained, which shows that certain impulsive perturbations may make unstable systems exponentially stable. Some examples are discussed to illustrate our results. (C) 2008 Published by Elsevier B.V.

引用

页码：1 / 10

页数：10

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