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.
引用
收藏
页数：8
相关论文
共 50 条
  • [31] Time-dependent coupled harmonic oscillators
    Macedo, D. X.
    Guedes, I.
    JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (05)
  • [32] Asymptotic and Finite-Time Cluster Synchronization of Coupled Fractional-Order Neural Networks With Time Delay
    Liu, Peng
    Zeng, Zhigang
    Wang, Jun
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2020, 31 (11) : 4956 - 4967
  • [33] Finite-Time and Fixed-Time Synchronization of Coupled Switched Neural Networks Subject to Stochastic Disturbances
    Guo, Zhenyuan
    Xie, Hui
    Wang, Jun
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (10): : 6511 - 6523
  • [34] Feedback control for stochastic finite-time/fixed-time synchronization of stochastic coupled nonlinear systems
    Hu, Hongxiao
    Yang, Wenjing
    Ding, Zhengtao
    CONTROL THEORY AND TECHNOLOGY, 2023, 21 (03) : 352 - 362
  • [35] On the Lp synchronization and finite-time synchronization of fractional-order complex networks
    Zhang, Shuailei
    Liu, Xinge
    Ullah, Saeed
    Xu, Hongfu
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2025,
  • [36] Finite-time attitude synchronization with a discontinuous protocol
    Wei, Jieqiang
    Zhang, Silun
    Adaldo, Antonio
    Hu, Xiaoming
    Johansson, Karl H.
    2017 13TH IEEE INTERNATIONAL CONFERENCE ON CONTROL & AUTOMATION (ICCA), 2017, : 192 - 197
  • [37] Finite-time synchronization of fractional-order simplest two-component chaotic oscillators
    Kengne, Romanic
    Tchitnga, Robert
    Mezatio, Anicet
    Fomethe, Anaclet
    Litak, Grzegorz
    EUROPEAN PHYSICAL JOURNAL B, 2017, 90 (05)
  • [38] Finite-time consensus tracking for harmonic oscillators using both state feedback control and output feedback control
    Zhang, Yanjiao
    Yang, Ying
    Zhao, Yu
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (08) : 878 - 893
  • [39] Finite-time synchronization of complex networks with nonidentical discontinuous nodes
    Yang, Xinsong
    Wu, Zhiyou
    Cao, Jinde
    NONLINEAR DYNAMICS, 2013, 73 (04) : 2313 - 2327
  • [40] Synchronization of coupled harmonic oscillators in a dynamic proximity network
    Su, Housheng
    Wang, Xiaofan
    Lin, Zongli
    AUTOMATICA, 2009, 45 (10) : 2286 - 2291
12345