Robust reliable stabilization of uncertain stochastic switched nonlinear systems

This paper investigates the problem of robust reliable stabilization for a class of uncertain stochastic switched nonlinear systems. The parameter uncertainties are assumed to be time-varying but norm-bounded. Firstly, a criterion of mean-square exponential stability for stochastic nonlinear switched system is proposed, then a kind of design method of reliable stabilization for stochastic switched nonlinear system with actuator failures is presented, the problem of robust reliable stabilization for uncertain stochastic switched nonlinear system with actuator failures is also investigated. Finally, a numerical example is given to illustrate the effectiveness of the main results.