Stabilization of a class of switched stochastic systems with asynchronous switching

This paper concerns the asynchronously switched control problem for a class of switched stochastic systems with time delays under an average dwell time (ADT) scheme. By further allowing the Lyapunov-Krasovskii functional to increase during the running time of the active subsystem with the mismatched controller, the mean-square exponential stability condition for the resulting closed-loop system is firstly derived. Then, the corresponding solvability condition for desired controllers is established. Finally, two numerical examples are exploited to show the validity and potential of the developed result.