Event-triggered impulsive control for nonlinear delay systems

被引：200
作者：
Li, Xiaodi [1 ,2 ]
Yang, Xueyan [1 ]
Cao, Jinde [3 ,4 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] Inst Luneng Intelligence Technol, Jinan 250014, Peoples R China
[3] Southeast Univ, Jiangsu Prov Key Lab Networked Collect Intelligen, Nanjing 210096, Peoples R China
[4] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
来源：
AUTOMATICA | 2020年 / 117卷
基金：
中国国家自然科学基金;
关键词：
Event-triggered impulsive control; Nonlinear delay systems; Multi-agent systems; Razumikhin method; Stability; 2ND-ORDER MULTIAGENT SYSTEMS; TO-STATE STABILITY; STABILIZATION; CONSENSUS;
D O I：
10.1016/j.automatica.2020.108981
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the exponential stability of nonlinear delay systems by means of event-triggered impulsive control (ETIC) approach, where impulsive instants are determined by a Lyapunov-based event-triggered mechanism (ETM). Based on the ETM, sufficient conditions are presented to exclude Zeno behavior and guarantee the exponential stability in the framework of Lyapunov-Razumikhin method. Different from time-triggered impulsive control in which the triggered time is determined artificially, ETIC is activated only when some well-designed events occur. Moreover, control input is only needed at triggered instants and there is no any control input during two consecutive triggered instants. As an application, the theoretical result is applied to nonlinear delay multi-agent systems. A class of ETIC strategies is designed to achieve consensus of the addressed systems. Finally, two numerical examples are presented to illustrate the effectiveness of the developed approach. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：7
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