Synchronization of coupled harmonic oscillators with local interaction

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 i...

Full description

Saved in:
Bibliographic Details
Published inAutomatica (Oxford) Vol. 44; no. 12; pp. 3195 - 3200
Main Author Ren, Wei
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.12.2008
Elsevier
Subjects
Applied sciences
Computer science; control theory; systems
Control system analysis
Control theory. Systems
Coordination
Coupled harmonic oscillators
Exact sciences and technology
Local interaction
Multi-agent systems
Synchronization
Coupled harmonic oscillators
Local interaction
Coordination
Synchronization
Multi-agent systems
Interconnection network
Coupled oscillator
Graph theory
Topology
Multiagent system
Nonsmooth analysis
Motion control
Harmonic oscillator
Online AccessGet full text
ISSN0005-1098
1873-2836
DOI10.1016/j.automatica.2008.05.027

Cover

More Information
Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2008.05.027