A Note on Stability of Event-Triggered Control Systems With Time Delays

This note studies stability of event-triggered control systems with the event-triggered control algorithm proposed in (Zhang et al., 2022). We construct a novel Halanay-type inequality, which is used to show that sufficient conditions of the main results in (Zhang et al., 2022) ensure stability of the event-triggered control systems that was missing in (Zhang et al., 2022). It is also shown that a positive parameter in the proposed event-triggering condition in (Zhang et al., 2022) can be freely selected to exclude Zeno behavior from the event-triggered control system. An illustrative example is investigated to demonstrate the theoretical results of this study with numerical simulations.