4.7 Article

Impulsive stabilization of functional differential equations with infinite delays

期刊

APPLIED MATHEMATICS LETTERS
卷 16, 期 5, 页码 695-701

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0893-9659(03)00069-7

关键词

stability; impulsive differential equation; Razumikhin technique; Lyapunov function

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In this paper, we study the stability of a class of impulsive functional differential equations with infinite delays. We establish a uniform stability theorem and a uniform asymptotic stability theorem, which shows that certain impulsive perturbations may make unstable systems uniformly stable, even uniformly asymptotically stable. (C) 2003 Elsevier Science Ltd. All rights reserved.

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