Input-to-state stability for discrete-time non-linear switched singular systems

This study investigates the input-to-state stability (ISS) for a class of discrete-time non-linear switched singular systems. Two novel ISS criteria are proposed based on multiple Lyapunov functions method. In one case that all subsystems are input-to-state stable (ISS) but the system stability may be destroyed by the switching, the average dwell time switching algorithm is applied to guarantee the ISS of the whole system. In other case that all subsystems can be unstable, the state-dependent switching rule is designed to stabilise the system and ensure the ISS of the switched singular system. Finally, simulation examples are provided to illustrate the feasibility of the obtained results.