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Razumikhin-type theorems for asymptotic stability of impulsive stochastic functional differential systems

โœ Scribed by Pei Cheng; Feiqi Deng; Xisheng Dai

Book ID
107384146
Publisher
SP Systems Engineering Society of China
Year
2010
Tongue
English
Weight
301 KB
Volume
19
Category
Article
ISSN
1004-3756

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๐Ÿ“œ SIMILAR VOLUMES

The improvement of Razumikhin type theor
The improvement of Razumikhin type theorems for impulsive functional differential equations
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In this paper, by using Lyapunov functions and Razumikhin techniques, the stability of impulsive functional differential equations is investigated. The obtained results avoid the difficulty of constructing a P function in Razumikhin's condition and they generalize and improve the existing theorems.

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## 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