Event-triggered control for discrete-time delay systems

This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based a Lyapunov-Krasovskii type input-to-state stability result, we propose novel algorithm that works as follows. The inputs are updated only when certain measurement error surpasses dynamical threshold depending both the system states and evolution time. Sufficient conditions established to ensure closed-loop maintains its asymptotic stability. It is shown time-dependent portion in essential derive lower bound times between two consecutive updates. As special case our results, demonstrate performance designed event-triggering for class linear Numerical simulations provided effectiveness theoretical results.