Delay-Dependent stabilization for hybrid stochastic delay systems by discrete-time feedback control

In 2013, Mao initiated the study on the stabilization of continuous-time hybrid stochastic differential equations by feedback controls based on discrete-time state observations. In this paper, we will extend the theory to deal with the robust discrete-state-feedback stabilization problem for hybrid stochastic systems with time-varying delay. By employing the Razumikhin technique, delay-dependent criterion to determine controllers and time lags is firstly established. Then the LMI method to design the controller based on discrete-time state observations is developed. Finally, an example is provided to illustrate the effectiveness of our results.