Stability of Stochastic Delayed Differential Equations with Exogenous Disturbances via Event-Triggered Scheme

Abstract

This paper discusses the input-to-state practically stabilization (ISpS) issue for stochastic delayed differential equations (SDDEs) with exogenous disturbances. To reduce the transmission frequency of the feedback control signal, the proposed SDDSs are stabilized by an event-triggered strategy. The concept of the input-to-state practically stabilization is used to describe the dynamic performance of control target in the event-triggered schemes and exogenous disturbances. Making use of stochastic control theory, we demonstrate that the considered SDDEs is ISpS via an event-triggered feedback controller represented by linear matrix inequalities (LMIs). Moreover, lower bound of interaction time of control task is obtained to avoid the Zeno behavior. Compared with the large number of results for discrete-time stochastic systems, event-triggered control of continuous-time stochastic systems only yields a few results.