Stability Analysis of Discrete-Time Switched Nonlinear Systems with Delays and Perturbations

This paper addresses the stability problems of discrete-time switched nonlinear systems with time-varying delays. The considered system is with perturbations and involves four types of commonly encountered switching signals. It is assumed that the nominal switched nonlinear system (perturbation-free system) is uniformly exponentially stable and that the perturbations satisfy a local or global linear growth bound condition. It is revealed that there exists an upper bound of perturbation guaranteeing that the perturbed system preserves the stability property of the nominal system, locally or globally, depending on both perturbations and the nominal system itself.