Exponential synchronization for nonidentical high-dimensional Kuramoto model

被引：4
作者：
Wei, Xinmiao [1 ]
Peng, Shanshan [2 ]
Zhu, Jiandong [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2023年 / 177卷
关键词：
Nonidentical high-dimensional Kuramoto; model; Exponential synchronization; Strongly connected digraph; IDENTICAL OSCILLATORS; STABILITY;
D O I：
10.1016/j.sysconle.2023.105554
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates exponential synchronization for a group of nonidentical high-dimensional Kuramoto oscillators interconnected by a digraph. A set of matrix differential equations for synchronization errors is established. Under the assumption of strong connectivity of the digraph, the exponential synchronization is proved, and the synchronization rate is calculated. (c) 2023 Published by Elsevier B.V.
引用
收藏
页数：8
相关论文
共 50 条
  • [31] ON THE SYNCHRONIZATION OF DISCRETE-TIME KURAMOTO MODEL WITH FRUSTRATION
    Zhu, Tingting
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (11) : 3233 - 3249
  • [32] Asymptotic Frequency Synchronization of Kuramoto Model by Step Force
    Mao, Yanbing
    Zhang, Ziang
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (08): : 2768 - 2778
  • [33] Phase locked synchronization for Kuramoto model with attractive and repulsive interconnections
    El-Ati, Ali
    Panteley, Elena
    2013 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC 2013), 2013, : 1253 - 1258
  • [34] On the Synchronization of the Kuramoto-Type Model of Oscillators With Lossy Couplings
    Ojo, Yemi
    Laib, Khaled
    Lestas, Ioannis
    IEEE CONTROL SYSTEMS LETTERS, 2023, 7 : 1225 - 1230
  • [35] The Kuramoto Model on Power Law Graphs: Synchronization and Contrast States
    Medvedev, Georgi S.
    Tang, Xuezhi
    JOURNAL OF NONLINEAR SCIENCE, 2020, 30 (05) : 2405 - 2427
  • [36] SYNCHRONIZATION OF A KURAMOTO-LIKE MODEL FOR POWER GRIDS WITH FRUSTRATION
    Zhao, Xiaoxue
    Li, Zhuchun
    NETWORKS AND HETEROGENEOUS MEDIA, 2020, 15 (03) : 543 - 553
  • [37] Synchronization Estimate of the Discrete Kuramoto Model with Multiplicative Random Noise
    Shim, Woojoo
    KYUNGPOOK MATHEMATICAL JOURNAL, 2024, 64 (04): : 559 - 578
  • [38] A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model
    Chiba, Hayato
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2015, 35 : 762 - 834
  • [39] EMERGENCE OF SYNCHRONIZATION IN KURAMOTO MODEL WITH FRUSTRATION UNDER GENERAL NETWORK TOPOLOGY
    Zhu, Tingting
    NETWORKS AND HETEROGENEOUS MEDIA, 2022, 17 (02) : 255 - 291
  • [40] Approximate solution for frequency synchronization in a finite-size Kuramoto model
    Wang, Chengwei
    Rubido, Nicolas
    Grebogi, Celso
    Baptista, Murilo S.
    PHYSICAL REVIEW E, 2015, 92 (06):
12345