Event-e-ISS for discrete-time impulsive dynamical networks
This paper investigates the exponential input-to-state stability under impulsive events (called as event-e-ISS) for discrete-time impulsive dynamical networks (DIDNs). Two cases (with/without coupling time-delays) are studied respectively for the event-e-ISS of DIDNs. By employing the IS-E properties of subsystems, the gains of events, and the method of multiple Lyapunov-like functions, criteria of event-e-ISS are established. Finally, one example is worked out for illustration.