Hybrid event-triggered and impulsive control for time-delay systems

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. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates a hybrid event-triggered control strategy for stabilizing a class of nonlinear time-delay systems. The proposed algorithm combines impulsive control mechanism with an event-triggered strategy to avoid Zeno behavior. Sufficient conditions for system stabilization are obtained using Lyapunov method and Razumikhin technique, validated through numerical simulations.