  In this paper, we study the problem of hybrid event-triggered control for a
class of nonlinear time-delay systems. Using a Razumikhin-type input-to-state
stability result for time-delay systems, we design an event-triggered control
algorithm to stabilize the given time-delay system. In order to exclude Zeno
behavior, we combine the impulsive control mechanism with our event-triggered
strategy. In this sense, the proposed algorithm is a hybrid impulsive and
event-triggered strategy. Sufficient conditions for the stabilization of the
nonlinear systems with time delay are obtained by using Lyapunov method and
Razumikhin technique. Numerical simulations are provided to show the
effectiveness of our theoretical results.
