Event-Triggered Stabilization of Linear Time-Delay Systems via Halanay-Type Inequality

TL;DR

This paper introduces a new event-triggered control scheme for linear time-delay systems using a Halanay-type inequality, ensuring exponential stability and avoiding Zeno behavior.

Contribution

It proposes a novel event-triggering scheme combined with a Halanay-type inequality for stabilizing time-delay systems, with explicit conditions for control gain and parameters.

Findings

The scheme guarantees exponential stability of the system.

Conditions are derived to prevent Zeno behavior.

Two examples validate the effectiveness of the approach.

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.