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Stability and Stabilization of Impulsive Stochastic Delay Differential Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-28
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We consider the stability and stabilization of impulsive stochastic delay differential equations (ISDDEs).
Using the Lyapunov-Razumikhin method, we obtain the sufficient conditions to guarantee the pth moment exponential stability of ISDDEs.
Then the almost sure exponential stability is considered and the sufficient conditions of the almost sure exponential stability are obtained.
Moreover, the stabilization problem of ISDDEs is studied and the criterion on impulsive stabilization of ISDDEs is established.
At last, examples are presented to illustrate the correctness of our results.
American Psychological Association (APA)
Wu, Kaining& Ding, Xiaohua. 2012. Stability and Stabilization of Impulsive Stochastic Delay Differential Equations. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1029494
Modern Language Association (MLA)
Wu, Kaining& Ding, Xiaohua. Stability and Stabilization of Impulsive Stochastic Delay Differential Equations. Mathematical Problems in Engineering No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-1029494
American Medical Association (AMA)
Wu, Kaining& Ding, Xiaohua. Stability and Stabilization of Impulsive Stochastic Delay Differential Equations. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1029494
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029494