Event‐triggered impulsive control for systems with external disturbances and actuation delays

This work studies input‐to‐state stability (ISS) for nonlinear systems with external disturbances and actuation delays under event‐triggered impulsive control, where the cases of continuous and periodic monitoring are fully considered. Based on the cases of continuous and periodic monitoring, sufficient conditions ensuring ISS and the exclusion of Zeno behavior are proposed, respectively. The relationship between event parameters, actuation delays, and impulse strength is proposed. Finally, numerical simulations demonstrate the validity of the theoretical results.