Exponential stability for impulsive delay differential equations by Razumikhin method

被引：80

作者：

Wang, Q ^{[1
]}

Liu, XZ ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 309卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Razumikhin technique; Lyapunov function; impulsive delay differential equation; exponential stability;

D O I：

10.1016/j.jmaa.2004.09.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study exponential stability for impulsive delay differential equation of the form (x)over dot(t) = f(t, x(t)) t not equal t(k), Delta x (t) = I-k (t, x(t-)), t = t(k), k is an element of N. By employing the Razumikhin technique and Lyapunov functions, several exponential stability criteria are established. Some examples are also discussed to illustrate our results. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：462 / 473

页数：12

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