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Stability and Stabilization of Impulsive Stochastic Delay Difference Equations
Joint Authors
Ding, Xiaohua
Wang, Liming
Wu, Kaining
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wu, Kaining& Ding, Xiaohua& Wang, Liming. 2010. Stability and Stabilization of Impulsive Stochastic Delay Difference Equations. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-483389
Modern Language Association (MLA)
Wu, Kaining…[et al.]. Stability and Stabilization of Impulsive Stochastic Delay Difference Equations. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-15.
https://search.emarefa.net/detail/BIM-483389
American Medical Association (AMA)
Wu, Kaining& Ding, Xiaohua& Wang, Liming. Stability and Stabilization of Impulsive Stochastic Delay Difference Equations. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-483389
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483389