Noise-to-state stability for random affine systems with state-dependent switching?

In this paper, noise-to-state stability is investigated for a class of random systems with state-dependent switching. Under some mild and easily verified conditions, the existence of global solution to random switched systems can be proved by the aid of Lyapunov approach. Based on a reasonable requirement to the random disturbance, the criteria on noise-to-state stability in probability of random switched systems are presented by applying single Lyapunov function technique.