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

被引：25
作者：
Cheng, S. [1 ,2 ]
Ji, J. C. [1 ]
Zhou, J. [2 ]
机构：
[1] Univ Technol, Fac Engn, Broadway, NSW 2007, Australia
[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
PHYSICA SCRIPTA | 2011年 / 84卷 / 03期
基金：
美国国家科学基金会;
关键词：
COMPLEX NETWORKS; CONSENSUS; FLOCKING; AGENTS; ALGORITHMS; SYSTEMS;
D O I：
10.1088/0031-8949/84/03/035006
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页数：8
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