Characterizations of Input-to-State Stability for a Class of Switched Discrete Systems with Nonlinear Disturbance

The input-to-state stability (ISS) and weighted ISS of a class of switched discrete-time systems are considered in this paper, respectively, along with their uniform versions with respect to some proper sets of switching laws. As a typical switched nonlinear system model, such systems are dominated by the deterministic discrete-time switching laws, and the subsystems have linear main part and unknown nonlinear disturbance. The criteria of 155 and weighted ISS of the switched discrete-time systems under consideration are accurately presented together with the averaged dwell-time method. All criteria are jointly determined by the gain functions in kappa L, kappa(infinity), and the sets of switching laws characterised by the stability indexes of two subsystem classes.