Stabilizing discrete-time switched systems with inputs

This article deals with input-to-state stability (ISS) of discrete-time switched systems. Given a family of systems with exogenous inputs, we present a discrete-time analog of the class of stabilizing switching signals proposed in [6]. We allow non-ISS systems in the family and our analysis relies on multiple ISS-Lyapunov-like functions. We identify a subclass of average dwell time switching signals in our setting, and establish a discrete-time counterpart of an ISS version of [10, Theorem 2] as a corollary of our main result