Second-order controllability of two-time-scale multi-agent systems

被引：60

作者：

Long, Mingkang ^{[1
,2
]}

Su, Housheng ^{[2
]}

Liu, Bo ^{[3
]}

机构：

[1] Hunan Univ Technol, Sch Sci, Zhuzhou 412008, Peoples R China

[2] Huazhong Univ Sci & Technol, Educ Minist China, Image Proc & Intelligent Control Key Lab, Sch Automat, Luoyu Rd 1037, Wuhan 430074, Hubei, Peoples R China

[3] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 343卷

基金：

中国国家自然科学基金;

关键词：

Second-order controllability; Two-time-scale; Multi-agent systems; Coordination control; Singularly perturbed systems; VARYING FORMATION TRACKING; MULTIPLE LEADERS; CONSENSUS; NETWORKS; TOPOLOGIES; OBSERVABILITY; GRAPHS;

D O I：

10.1016/j.amc.2018.09.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses the controllability for an interconnected two-time-scale second-order multi-agent system. Firstly, to eliminate the singular perturbation parameter, we separate the multi-agent system into slow subsystem and fast subsystem by using singular perturbation methods. Then, based on matrix theory, some necessary and/or sufficient criteria are derived for second-order controllability of two-time-scale multi-agent systems with multiple leaders. Moreover, we propose some easy-to-use second-order controllability criteria determined only by eigenvalues of system matrices. Lastly, the effectiveness of the proposed theoretical results is illustrated by a simulation example. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：299 / 313

页数：15

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