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

Publisher:
IOP
Publication Type:
Journal Article
Citation:
PHYSICA SCRIPTA, 2011, 84 (3), pp. 1 - 8
Issue Date:
2011-01
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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.
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