Stability of nontrivial solution of delay differential equations with state-dependent impulses

被引：17
作者：
Liu, XZ [1 ]
Wang, Q [1 ]
机构：
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
stability; quasi-stability; impulsive differential equation; reduced system;
D O I：
10.1016/j.amc.2005.03.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the stability problem of nontrivial Solutions of delay differential equations with state-dependent impulses. By using the concepts of reduced system and quasi-stability, the stability problem of a nontrivial solution of the impulsive delay differential equation with state-dependent impulses is converted to that of the trivial solution of the impulsive delay differential equation with fixed impulses. Several stability criteria are then established utilizing the known results for systems with fixed impulses. (c) 2005 Published by Elsevier Inc.
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页码：271 / 288
页数：18
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