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-stability theorems of nonlinear impulsive functional differential systems

โœ Scribed by Xilin Fu; Xiaodi Li

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
314 KB
Volume
221
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

This paper studies the W -stability of the solutions of nonlinear impulsive functional differential systems by using Lyapunov functions and Razumikhin technique. Some results that guarantee the W -stability and W -uniform stability are obtained here. And the asymptotical stability criteria of nonlinear impulsive functional differential systems are then established by using the W -uniform stability, which show the advantages of the obtained results.

๐Ÿ“œ SIMILAR VOLUMES

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Razumikhin-type theorems on exponential
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โœ Xilin Fu; Xiaodi Li ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 745 KB

## 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