Input/output-to-state stable property of switched stochastic nonlinear systems by an improved average dwell time method

This paper investigates the input/output-to-state stable in the mean (IOSSiM) property of switched stochastic nonlinear (SSN) systems. First, we present a new IOSSiM result for the SSN systems whose subsystems are IOSSiM by applying an improved ADT method. Second, by extending the improved ADT method to unforced nominal SSN systems in which parts of subsystems are stable, we establish a new stability analysis result. It should be pointed out that the obtained results have two advantages over the existing results, one is the ADT conditions are simplified, the other is the obtained lower bound of ADT (τ*_a) is also smaller than those obtained by other methods. Finally, an illustrative example with numerical simulation is verified the correctness and the effectiveness of the proposed methods.