Input-to-State Stability for Stochastic Switched Systems

This chapter is mainly concerned with the input-to-state stability concept of nonlinear stochastic switched systems with bounded disturbance input. The primary objective is to develop Lyapunov-like sufficient conditions guaranteeing the stability property in the pth moment. To control the switching among the system modes, we adopt two switching rules, an initial-state-dependent dwell-time switching signal and Markovian switching. We consider systems consisting of a set of all stable modes and a set of stable and unstable modes. Also, implications of these results are stated with enhancing examples.