Synchronization of coupled harmonic oscillators with local interaction

被引：242

作者：

Ren, Wei ^{[1
]}

机构：

[1] Utah State Univ, Dept Elect & Comp Engn, Logan, UT 84322 USA

来源：

AUTOMATICA | 2008年 / 44卷 / 12期

基金：

美国国家科学基金会;

关键词：

Synchronization; Coupled harmonic oscillators; Multi-agent systems; Local interaction; Coordination;

D O I：

10.1016/j.automatica.2008.05.027

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 synchronization of coupled second-order linear harmonic oscillators with local interaction. We analyze convergence conditions over, respectively, directed fixed and switching network topologies by using tools from algebraic graph theory, matrix theory, and nonsmooth analysis. It is shown that the coupled harmonic oscillators can be synchronized under mild network connectivity conditions. Examples are given to validate the convergence conditions. The theoretical result is also applied to synchronized motion coordination of multi-agent systems as a proof of concept. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3195 / 3200

页数：6

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