Boundedness of Stochastic Delay Differential Systems with Impulsive Control and Impulsive Disturbance

Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t This paper is concerned with the stability of n-dimensional stochastic differential delay systems with nonli...

Exponential Stability of Impulsive Stochastic Delay Differential Systems

This paper investigates the stability of stochastic delay differential systems with two kinds of impulses, that is, destabilizing impulses and stabilizing impulses. Both the pth moment and almost sure exponential stability criteria are established by using the average impulsive interval.When the impulses are regarded as disturbances, a lower bound of average impulsive interval is obtained; it m...

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 ...

Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay

Controllability of Neutral Stochastic Integro-differential Systems with Impulsive Effects

This article concerns the complete controllability for nonlinear neutral impulsive stochastic integro-differential system in finite dimensional spaces. Sufficient conditions ensuring the complete controllability are formulated and proved under the natural assumption that the associated linear control system is completely controllable. The results are obtained by using the Banach fixed point the...