New Criteria on $p$th Moment Input-to-State Stability of Impulsive Stochastic Delayed Differential Systems

By employing the Razumikhin technique, the uniformly exponentially stable function and the average dwell-time (ADT) approach, some Razumikhin-type theorems on input-to-state stability (ISS) for time-varying impulsive stochastic delay differential systems (ISDDS) are obtained. It is shown that if the time-varying continuous stochastic delayed dynamics is ISS and the impulsive effects are destabilizing, then the ISDDS is input-to-state stable...