Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions. (English) Zbl 0951.34049

Yan, Jurang; Shen, Jianhua

Nonlinear Anal., Theory Methods Appl. 37, No. 2, A, 245-255 (1999).

Using the Lyapunov-Razumikhin technique, the authors establish theorems on uniform stability and uniform asymptotic stability. These theorems show that certain impulsive perturbations can make unstable systems uniformly stable, even uniformly asymptotically stable.

Reviewer: L.Hatvani (Szeged)

MSC:

34K20	Stability theory of functional-differential equations
34K45	Functional-differential equations with impulses

Keywords:

functional-differential equations; uniform stability; uniform asymptotic stability; impulsive perturbations