Exponential stability of nonlinear impulsive neutral differential equations with delays

被引：36

作者：

Xu, Daoyi ^{[1
]}

Yang, Zhiguo ^{[1
]}

Yang, Zhichun ^{[1
]}

机构：

[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 05期

基金：

中国国家自然科学基金;

关键词：

neutral; impulse; singular impulsive differential inequality; exponential stability; delay;

D O I：

10.1016/j.na.2006.07.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a nonlinear impulsive neutral differential equation with time-varying delays is considered. By establishing a singular impulsive delay differential inequality and transforming the n-dimensional impulsive neutral delay differential equation to a 2n-dimensional singular impulsive delay differential equation, some sufficient conditions ensuring the global exponential stability in PC1 of the zero solution of an impulsive neutral differential equation are obtained. The results extend and improve on earlier publications. An example is given to illustrate the theory. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1426 / 1439

页数：14

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