Hybrid event-triggered and impulsive control for time-delay systems. (December 2021)

• Record Type: Journal Article
• Authors: Zhang, Kexue; Gharesifard, Bahman
• Is Part Of: Nonlinear analysis. Volume 43(2022)
• Publication Date: 2021-12
• Subjects: Event-triggered control -- Zeno behavior -- Time-delay system -- Impulsive control -- Razumikhin technique; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2021.101109
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: 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.