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