4.7 Article

Impulsive stabilization of functional differential equations with infinite delays

Journal

APPLIED MATHEMATICS LETTERS
Volume 16, Issue 5, Pages 695-701

Publisher

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

Keywords

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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