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2010 Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique
Shiguo Peng, Liping Yang
Abstr. Appl. Anal. 2010: 1-11 (2010). DOI: 10.1155/2010/987372

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.

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Shiguo Peng. Liping Yang. "Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique." Abstr. Appl. Anal. 2010 1 - 11, 2010. https://doi.org/10.1155/2010/987372

Information

Published: 2010
First available in Project Euclid: 2 March 2010

zbMATH: 1203.34119
MathSciNet: MR2595166
Digital Object Identifier: 10.1155/2010/987372

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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