  This note studies stability of event-triggered control systems with the
event-triggered control algorithm proposed in [1]. We construct a novel
Halanay-type inequality, which is used to show that sufficient conditions of
the main results in [1] ensure stability of the event-triggered control systems
that was missing in [1]. It is also shown that a positive parameter in the
proposed event-triggering condition in [1] 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.
  [1] K. Zhang, B. Gharesifard, and E. Braverman, Event-triggered control for
nonlinear time-delay systems, IEEE Transactions on Automatic Control, vol. 67,
no. 2, pp. 1031-1037, 2022.
