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
  • [41] Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs
    Zhang, Wanli
    Yang, Xinsong
    Yang, Shiju
    Alsaedi, Ahmed
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 188 : 319 - 329
  • [42] Finite-Time Synchronization of Impulsive Dynamical Networks With Strong Nonlinearity
    Zhu, Shuaibing
    Zhou, Jin
    Lu, Jinhu
    Lu, Jun-An
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (08) : 3550 - 3561
  • [43] Finite-Time Synchronization of Hybrid-Coupled Delayed Dynamic Networks via Aperiodically Intermittent Control
    Jing, Taiyan
    Zhang, Daoyuan
    Jing, Tailong
    NEURAL PROCESSING LETTERS, 2020, 52 (01) : 291 - 311
  • [44] Synchronization of Coupled Harmonic Oscillators in a Dynamic Proximity Network
    Su, Housheng
    Wang, Xiaofan
    Lin, Zongli
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 4985 - 4990
  • [45] Finite-time Bipartite Synchronization of Complex-valued Complex Networks with Time Delay
    Lei, Li
    Yang, Degang
    Liang, Tao
    Zhang, Wanli
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2023, 21 (06) : 1757 - 1768
  • [46] Adaptive finite-time cluster synchronization of neutral-type coupled neural networks with mixed delays
    He, Juan-Juan
    Lin, Ya-Qi
    Ge, Ming-Feng
    Liang, Chang-Duo
    Ding, Teng-Fei
    Wang, Leimin
    NEUROCOMPUTING, 2020, 384 : 11 - 20
  • [47] Finite-time Frequency Estimator for Harmonic Signal
    Bobtsov, Alexey A.
    Vediakova, Anastasiia O.
    Nikolaev, Nikolay A.
    Slita, Olga, V
    Pyrkin, Anton A.
    Vedyakov, Alexey A.
    IFAC PAPERSONLINE, 2020, 53 (02): : 584 - 589
  • [48] Finite-Time Synchronization for Coupled Heterogeneous Complex Networks via Differential Inequality Way
    Liao, Huaying
    Zhang, Zhengqiu
    NEURAL PROCESSING LETTERS, 2023, 55 (06) : 7851 - 7868
  • [49] Finite-time adaptive synchronization of coupled uncertain neural networks via intermittent control
    Zhou, Wenjia
    Hu, Yuanfa
    Liu, Xiaoyang
    Cao, Jinde
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 596
  • [50] Finite-time and fixed-time impulsive synchronization of chaotic systems
    Ao, Wengang
    Ma, Tiedong
    Sanchez, Rene-Vinicio
    Gan, Haitao
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (16): : 11545 - 11557
12345