New Razumikhin-type theorems on the stability for impulsive functional differential systems

被引：16

作者：

Chen, Zhang

Fu, Xilin ^{[1
]}

机构：

[1] Shandong Normal Univ, Dept Math, Shandong 250014, Peoples R China

[2] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 09期

基金：

中国国家自然科学基金;

关键词：

impulsive functional differential systems; Lyapunov function; stability;

D O I：

10.1016/j.na.2006.02.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In this paper, we investigate the stability of the trivial solution for impulsive functional differential systems using several Lyapunov functions including partial components coupled with the Razumikhin technique, and obtained some new Razumikhin-type theorems which avoid using the auxiliary function P under less restrictive conditions. Our results improve some of the earlier findings, and are suitable for many applications. Some examples are given to illustrate the advantages of the theorems obtained. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2040 / 2052

页数：13

共 23 条

[1]

EXPONENTIAL STABILITY OF LINEAR DELAY IMPULSIVE DIFFERENTIAL-EQUATIONS [J].