4.6 Article

The method of Lyapunov functionals and exponential stability of impulsive systems with time delay

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 66, Issue 7, Pages 1465-1484

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2006.02.004

Keywords

Lyapunov functional; impulsive delay systems; exponential stability

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This paper studies exponential stability of impulsive systems with time delay. By employing the method of Lyapunov functionals, several exponential stability criteria are established. Our results have improved and generalized some of the known results found in the literature. Several examples are also discussed to illustrate our results. (c) 2006 Elsevier Ltd. All rights reserved.

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