Lyapunov Characterizations of Exponential Mean Square Input-to-State Stability for Discrete-Time Markovian Switching Nonlinear Systems

This article provides necessary and sufficient Lyapunov conditions for the exponential mean square stability and exponential mean square input-to-state-stability of discrete-time Markovian switching nonlinear systems. An application to the stability analysis of wireless control networks is presented, showing the usefulness of the proposed approach.