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基于事件触发脉冲控制的变时滞系统稳定性研究
Stability Analysis of Time-Varying Delay Systems Based on Event-Triggered Impulsive Control

DOI: 10.12677/DSC.2021.101002, PP. 13-23

Keywords: 事件触发脉冲控制，变时滞，指数稳定性，Zeno现象
Event-Triggered Impulsive Control, Time-Varying Delay, Exponential Stability, Zeno Behavior

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Abstract:

本文研究了事件触发脉冲控制下变时滞系统的稳定性问题。首先我们设计了一种由系统状态决定脉冲作用时刻的事件触发脉冲控制，证明了系统不存在Zeno现象。其次我们得到了变时滞系统在提出的事件触发脉冲控制下指数稳定的充分条件。最后仿真实验结果验证了理论方案的有效性。
This paper investigates the stability of time-varying delay systems via an event-triggered impulsive control. Firstly, the event-triggered impulsive control is designed where the impulsive instants are determined by the system states, and Zeno-behavior is ruled out. In addition, sufficient conditions of exponential stability of time-varying delay systems are gained under the proposed event-triggered impulsive control. A numerical example is finally given to illustrate the effectiveness of the theoretical results.

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