stability and stabilization of impulsive stochastic delay differential equations

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ID: 250741
2012
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Abstract
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.
Reference Key
wu2012mathematicalstability Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Kaining Wu;Xiaohua Ding
Journal journal of power sources
Year 2012
DOI
10.1155/2012/176375
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