#6013. Hybrid event-triggered and impulsive control for time-delay systems

August 2026publication date
Proposal available till 08-06-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Analysis;
Computer Science Applications;
Control and Systems Engineering;
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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.
Keywords:
Event-triggered control; Impulsive control; Razumikhin technique; Time-delay system; Zeno behavior

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