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Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses
Joint Authors
Deng, Feiqi
Cheng, Pei
Yao, Fengqi
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A class of generalized impulsive stochastic functional differential systems with delayed impulses is considered.
By employing piecewise continuous Lyapunov functions and the Razumikhin techniques, several criteria on the exponential stability and uniform stability in terms of two measures for the mentioned systems are obtained, which show that unstable stochastic functional differential systems may be stabilized by appropriate delayed impulses.
Based on the stability results, delayed impulsive controllers which mean square exponentially stabilize linear stochastic delay systems are proposed.
Finally, numerical examples are given to verify the effectiveness and advantages of our results.
American Psychological Association (APA)
Yao, Fengqi& Deng, Feiqi& Cheng, Pei. 2013. Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-480591
Modern Language Association (MLA)
Yao, Fengqi…[et al.]. Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-480591
American Medical Association (AMA)
Yao, Fengqi& Deng, Feiqi& Cheng, Pei. Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-480591
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480591