On Stochastic ISS of Time-Varying Switched Systems with Generic Lévy Switching Signals

Switched systems in which switching among subsystems occurs at random time instants find numerous applications engineering. Stability analysis of such systems, however, is quite challenging. This letter investigates the stochastic input-to-state stability this class switched systems. The are modeled by a non-decreasing, positive, and real-valued Lévy process, which, every instant, selects active subsystem from family deterministic No assumption on presumed; they can be stable or unstable. Stochastic properties signal coupled with Lyapunov-like functions to obtain sufficient condition for stability.