Integral Input-to-State Stability of Discrete-Time Cascade Systems

In this paper, some integral input-to-state stability (iISS) results for discrete time cascade systems are presented. Firstly, the definition of iISS for discrete time systems is provided. By using the Lyapunov function method, we give the sufficient conditions on iISS of discrete time cascade systems. Especially, for linear discrete time cascade systems, the sufficient conditions on iISS are provided. Finally, corresponding examples are provided to illustrate the effectiveness of our results.