Synchronization of coupled harmonic oscillators in a dynamic proximity network

被引：170

作者：

Su, Housheng ^{[2
]}

Wang, Xiaofan ^{[2
]}

Lin, Zongli ^{[1
]}

机构：

[1] Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA

[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China

来源：

AUTOMATICA | 2009年 / 45卷 / 10期

关键词：

Synchronization; Distributed control; Coupled harmonic oscillators; Multi-agent systems; MULTIAGENT SYSTEMS; FLOCKING; ALGORITHMS; STABILITY;

D O I：

10.1016/j.automatica.2009.05.026

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper,we revisit the synchronization problems for coupled harmonic oscillators in a dynamic proximity network. Unlike many existing algorithms for distributed control of complex dynamical networks that require explicit assumptions on the network connectivity, we show that the coupled harmonic oscillators can always be synchronized, without imposing any network connectivity assumption. Moreover, we also investigate the synchronization with a leader and show that all harmonic oscillators can asymptotically attain the position and velocity of the leader, again without any assumption on connectivity of the followers. Numerical simulation illustrates the theoretical results. (C) 2009 Published by Elsevier Ltd

引用

页码：2286 / 2291

页数：6

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