Stability and stabilization of impulsive stochastic delay differential equations (Q1954501)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Stability and stabilization of impulsive stochastic delay differential equations |
scientific article; zbMATH DE number 6173072
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and stabilization of impulsive stochastic delay differential equations |
scientific article; zbMATH DE number 6173072 |
Statements
Stability and stabilization of impulsive stochastic delay differential equations (English)
0 references
11 June 2013
0 references
Summary: 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 \(p\)th 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.
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
