Infinite-time and finite-time synchronization of coupled harmonic oscillators

Cheng, S; Ji, JC; Zhou, J

Infinite-time and finite-time synchronization of coupled harmonic oscillators

Cheng, S Ji, JC

Zhou, J

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Publication Type:: Journal Article
Citation:: Physica Scripta, 2011, 84 (3)
Issue Date:: 2011-09-01

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Field	Value	Language
dc.contributor.author	Cheng, S	en_US
dc.contributor.author	Ji, JC https://orcid.org/0000-0003-3280-5463	en_US
dc.contributor.author	Zhou, J	en_US
dc.date.issued	2011-09-01	en_US
dc.identifier.citation	Physica Scripta, 2011, 84 (3)	en_US
dc.identifier.issn	0031-8949	en_US
dc.identifier.uri	http://hdl.handle.net/10453/17941
dc.description.abstract	This paper studies the infinite-time and finite-time synchronization of coupled harmonic oscillators with distributed protocol in the scenarios with and without a leader. In the absence of a leader, the convergence conditions and the final trajectories that each harmonic oscillator follows are developed. In the presence of a leader, it is shown that all harmonic oscillators can achieve the trajectory of the leader in finite time. Numerical simulations of six coupled harmonic oscillators are given to show the effects of the interaction function parameter, algebraic connectivity and initial conditions on the convergence time. © 2011 The Royal Swedish Academy of Sciences.	en_US
dc.relation.ispartof	Physica Scripta	en_US
dc.relation.isbasedon	10.1088/0031-8949/84/03/035006	en_US
dc.subject.classification	General Physics	en_US
dc.title	Infinite-time and finite-time synchronization of coupled harmonic oscillators	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	84	en_US
utslib.for	0105 Mathematical Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access
pubs.issue	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	84	en_US

Abstract:

This paper studies the infinite-time and finite-time synchronization of coupled harmonic oscillators with distributed protocol in the scenarios with and without a leader. In the absence of a leader, the convergence conditions and the final trajectories that each harmonic oscillator follows are developed. In the presence of a leader, it is shown that all harmonic oscillators can achieve the trajectory of the leader in finite time. Numerical simulations of six coupled harmonic oscillators are given to show the effects of the interaction function parameter, algebraic connectivity and initial conditions on the convergence time. © 2011 The Royal Swedish Academy of Sciences.

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http://hdl.handle.net/10453/17941