Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 289480, 12 pages
doi:10.1155/2009/289480
Research Article

Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay

Xiaoli Sun1 and Xiaodi Li2

1Department of Mathematics and Information Science, Zaozhuang University, Zaozhuang 277100, China
2School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Received 3 June 2009; Revised 26 September 2009; Accepted 21 October 2009

Academic Editor: Binggen Zhang

Copyright © 2009 Xiaoli Sun and Xiaodi Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By using the Razumikhin technique and Lyapunov functions, we investigated the impulsive exponential stabilization of functional differential systems with infinite delay. A new result on the exponential stabilization by impulses is gained. Our result shows that impulses can make unstable systems stable. A numerical example is given to illustrate the feasibility of the result.