Synchronization of Coupled Harmonic Oscillators in a Dynamic Proximity Network

被引：0

作者：

Su, Housheng ^{[1
]}

Wang, Xiaofan ^{[1
]}

Lin, Zongli ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Dongchuan Rd 800, Shanghai 200240, Peoples R China

[2] Univ Virginia, Dept Elect & Comp Engn, Charlottesville, VA 22904 USA

来源：

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年

基金：

中国国家自然科学基金;

关键词：

Synchronization; distributed control; coupled harmonic oscillators; multi-agent systems; ALGORITHMS; STABILITY; FLOCKING;

D O I：

10.1109/CDC.2009.5400765

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.

引用

页码：4985 / 4990

页数：6

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