Stability and Stabilization of Impulsive Stochastic Delay Differential Equations
Copyright policy )Stability and Stabilization of Impulsive Stochastic Delay Differential Equations
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.
- Harbin Institute of Technology China (People's Republic of)
Stability theory of functional-differential equations, Stochastic functional-differential equations, Functional-differential equations with impulses, stability, Stochastic ordinary differential equations (aspects of stochastic analysis), Discrete-time control/observation systems, impulsive control, QA1-939, Applications of difference equations, stochastic delay difference system, Lyapunov-Razumikhin technique, Stochastic stability in control theory, Mathematics
Stability theory of functional-differential equations, Stochastic functional-differential equations, Functional-differential equations with impulses, stability, Stochastic ordinary differential equations (aspects of stochastic analysis), Discrete-time control/observation systems, impulsive control, QA1-939, Applications of difference equations, stochastic delay difference system, Lyapunov-Razumikhin technique, Stochastic stability in control theory, Mathematics
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