Impulsive stabilization of functional differential equations with infinite delays

doi:10.1016/S0893-9659(03)00069-7

Applied Mathematics Letters

Volume 16, Issue 5, July 2003, Pages 695-701

https://doi.org/10.1016/S0893-9659(03)00069-7 Get rights and content

Under an Elsevier user license

open archive

Abstract

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.

Keywords

Stability

Impulsive differential equation

Razumikhin technique

Lyapunov function

Cited by (0)

^☆: This work is supported by the National Nature Science Foundation of P.R. China (10071018).

¹: The authors thank the referee for helpful comments.

Applied Mathematics Letters

Impulsive stabilization of functional differential equations with infinite delays☆

Abstract

Keywords