Some results on stochastic input-to-state stability of stochastic switched nonlinear systems

Abstract

In this paper, the problem of stochastic input-to-state stability (SISS) is investigated for a class of stochastic switched nonlinear systems. A sufficient condition is first derived to estimate an upper bound on a stochastic process. Based on that, the SISS problem is addressed for stochastic nonlinear systems be virtue of the indefinite Lyapuno function approach. For the convenience of simulation, the SISS property of stochastic switched nonlinear systems i further analyzed by the average dwell-time technique. An illustrative example together with numerical simulatio s is presented to demonstrate the efficiency of the proposed results.