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

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dc.contributor.author Cheng, S en_US
dc.contributor.author Zhou, J en_US
dc.contributor.author Ji, Jc en_US
dc.contributor.editor en_US
dc.date.accessioned 2012-10-12T03:32:48Z
dc.date.available 2012-10-12T03:32:48Z
dc.date.issued 2011 en_US
dc.identifier 2011000799 en_US
dc.identifier.citation Cheng S, Ji Jinchen, and Zhou J 2011, 'Infinite-time and finite-time synchronization of coupled harmonic oscillators', IOP PUBLISHING LTD, vol. 84, no. 3, pp. 035006 en_US
dc.identifier.issn 0031-8949 en_US
dc.identifier.other C1 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. en_US
dc.language English en_US
dc.publisher IOP PUBLISHING LTD en_US
dc.title Infinite-time and finite-time synchronization of coupled harmonic oscillators en_US
dc.parent PHYSICA SCRIPTA en_US
dc.journal.volume 84 en_US
dc.journal.number 3 en_US
dc.publocation TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND en_US
dc.identifier.startpage 1 en_US
dc.identifier.endpage en_US
dc.identifier.endpage 8 en_US
dc.cauo.name FEIT.School of Elec, Mech and Mechatronic Systems en_US
dc.conference Verified OK en_US
dc.for 010000 en_US
dc.personcode 0000073102 en_US
dc.personcode 997749 en_US
dc.personcode 0000073103 en_US
dc.percentage 50 en_US
dc.classification.name Mathematical Sciences en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US
dc.date.activity en_US
dc.location.activity en_US
dc.description.keywords DYNAMICAL-SYSTEMS; COMPLEX NETWORKS; CHAOTIC SYSTEMS; CONSENSUS; AGENTS; FLOCKING; ALGORITHMS en_US


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