Abstract and Applied Analysis
Volume 2010 (2010), Article ID 987372, 11 pages
doi:10.1155/2010/987372
Global exponential stability of impulsive functional differential equations via Razumikhin technique
Shiguo Peng1
and Liping Yang2
1College of Automation, Guangdong University of Technology, Guangzhou 510006, China
2College of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China
Abstract
This paper develops some new Razumikhin-type theorems on global exponential stability of impulsive functional differential equations. Some applications are given to impulsive delay differential equations. Compared with some existing works, a distinctive feature of this paper is to address exponential stability problems for any finite delay. It is shown that the functional differential equations can be globally exponentially stabilized by impulses even if it may be unstable itself. Two examples verify the effectiveness of the proposed results.