Consensus of second-order discrete-time multi-agent systems with fixed topology

被引：85

作者：

Xie, Dongmei ^{[1
]}

Wang, Shaokun ^{[1
]}

机构：

[1] Tianjin Univ, Dept Math, Sch Sci, Tianjin 300072, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Multi-agent systems; Fixed topology; Consensus; Directed spanning tree; INFORMATION CONSENSUS; ASYMPTOTIC AGREEMENT; COORDINATED CONTROL; AGENTS;

D O I：

10.1016/j.jmaa.2011.08.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the consensus of second-order discrete-time multi-agent systems with fixed topology. First, we formulate the problem and give some preliminaries. Then, by algebraic graph theory and matrix theory, the convergence of system matrix is analyzed. Our main results indicate that the consensus of second-order system can be achieved if and only if the topology graph has a directed spanning tree and the values of the scaling parameters satisfy a range. The eigenvalues of the corresponding Laplacian matrix play a key role in reaching consensus. Finally, numerical simulations are given to illustrate the results. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：8 / 16

页数：9

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