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

Volume: 62, Issue: 7, Pages: 3573 - 3579
Published: Jul 1, 2017
Abstract
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...
Paper Details
Title
New Criteria on $p$th Moment Input-to-State Stability of Impulsive Stochastic Delayed Differential Systems
Published Date
Jul 1, 2017
Volume
62
Issue
7
Pages
3573 - 3579
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