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Razumikhin-type theorems on exponential stability of impulsive infinite delay differential systems

✍ Scribed by Xilin Fu; Xiaodi Li

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 745 KB
Volume: 224
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.03.042

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✦ Synopsis

a b s t r a c t

In this note, we study the exponential stability of impulsive functional differential systems with infinite delays by using the Razumikhin technique and Lyapunov functions. Several Razumikhin-type theorems on exponential stability are obtained, which shows that certain impulsive perturbations may make unstable systems exponentially stable. Some examples are discussed to illustrate our results.

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