Asynchronous containment control for discrete-time second-order multi-agent systems with time-varying delays

被引：46

作者：

Shi, Lei ^{[1
]}

Shao, Jinliang ^{[1
]}

Zheng, Wei Xing ^{[2
]}

Huang, Ting-Zhu ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Western Sydney Univ, Sch Comp Engn & Math, Sydney, NSW 2751, Australia

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 18期

基金：

澳大利亚研究理事会; 中国国家自然科学基金; 中国博士后科学基金;

关键词：

LEADER-FOLLOWING CONSENSUS; DYNAMIC LEADERS; TOPOLOGY; STATIONARY; ALGORITHMS; AGENTS;

D O I：

10.1016/j.jfranklin.2017.10.013

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The asynchronous containment control problem of second-order discrete-time multi-agent systems with time-varying delays is investigated. Asynchrony in this paper means that each agent updates state information via its clock that is independent of those of the other agents', and the time sequence over which each agent updates its state information is not necessarily equispaced. An asynchronous distributed control protocol is designed to realize local control strategies for the second-order discrete-time multi-agent system. By utilizing the proposed protocol and properties of Laplacian matrix, the asynchronous containment control problem of second-order multi-agent systems is equivalently transformed into a stability problem of synchronous error system. Based on the nonnegative matrix theory and graph theory, a necessary and sufficient condition is obtained to make all the followers asymptotically converge to the convex hull formed by the stationary leaders. Finally, some simulation examples are presented for illustration. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：8552 / 8569

页数：18

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