文章基本信息

标题：Stability and Stabilization of Impulsive Stochastic Delay Difference Equations
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作者：Kaining Wu ; Xiaohua Ding ; Liming Wang 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2010
卷号：2010
DOI：10.1155/2010/592036
出版社：Hindawi Publishing Corporation
摘要：When an impulsive control is adopted for a stochastic delay difference system (SDDS), there are at least two situations that should be contemplated. If the SDDS is stable, then what kind of impulse can the original system tolerate to keep stable? If the SDDS is unstable, then what kind of impulsive strategy should be taken to make the system stable? Using the Lyapunov-Razumikhin technique, we establish criteria for the stability of impulsive stochastic delay difference equations and these criteria answer those questions. As for applications, we consider a kind of impulsive stochastic delay difference equation and present some corollaries to our main results.