H∞ control of stochastic switched nonlinear systems with average dwell time

This paper aims to discuss the H_∞ control problem of nonlinear stochastic switched systems in case where both global asymptotically stable in the mean (GASiM) subsystems and unstable subsystems coexist. An average dwell time (ADT) scheme is established to show us that the system is GASiM, if the activation time of GASiM subsystems is comparatively longer than that of unstable ones. Further, some conditions upon the H_∞ performance of the stochastic switched system are provided. The effectiveness of the proposed result is illustrated by a simulation example.