Asymptotic Stability Criteria for a Class of Impulsive Functional Differential Systems

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Ivanka M. Stamova

Abstract

In this paper, a class of impulsive functional differential systems is investigated. It is proved that for the asymptotic stability of the zero solution of the system considered, it is sufficient that only some components of the right-hand side of the system are bounded for unbounded values of time. For functional differential equations without impulses, similar results were proved by Burton and Makay using Lyapunov-Krasovskii functionals. The goal of this paper is to prove these criteria for a class of impulsive functional differential systems with variable impulsive perturbations applying the Lyapunov-Razumikhin technique. © 2014 NSP Natural Sciences Publishing Cor.

Recommended Citation

M. Bohner and I. M. Stamova, "Asymptotic Stability Criteria for a Class of Impulsive Functional Differential Systems," Applied Mathematics and Information Sciences, vol. 8, no. 4, pp. 1475 - 1483, Naturals Publishing, Jul 2014.

The definitive version is available at https://doi.org/10.12785/amis/080401

Department(s)

Mathematics and Statistics

Keywords and Phrases

Asymptotic stability; Impulsive functional differential equations; Lyapunov-Razumikhin function

International Standard Serial Number (ISSN)

2325-0399; 1935-0090

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Naturals Publishing, All rights reserved.

Publication Date

01 Jul 2014