Event-Triggered Stabilization of Linear Time-Delay Systems via Halanay-Type Inequality
Optimization and Control
2023-08-17 v1 Systems and Control
Systems and Control
Abstract
This paper studies the event-triggered control problem for time-delay systems. A novel event-triggering scheme is proposed to exponentially stabilize a class of linear time-delay systems. By employing a new Halanay-type inequality and the Lyapunov function method, sufficient conditions on the design of control gain and selection of parameters in the proposed event-triggering scheme are derived to both ensure the exponential stability of the closed-loop system and exclude Zeno behavior. Two examples are given to demonstrate the effectiveness of the theoretical result.
Keywords
Cite
@article{arxiv.2308.08105,
title = {Event-Triggered Stabilization of Linear Time-Delay Systems via Halanay-Type Inequality},
author = {Kexue Zhang},
journal= {arXiv preprint arXiv:2308.08105},
year = {2023}
}