中国物理B ›› 2025, Vol. 34 ›› Issue (4): 40601-040601.doi: 10.1088/1674-1056/adacc6

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Finite time hybrid synchronization of heterogeneous duplex complex networks via time-varying intermittent control

Cheng-Jun Xie(解成俊)1,2 and Xiang-Qing Lu(卢向清)1,2,3,†   

  1. 1 College of Artificial Intelligence and Electrical Engineering, Guangzhou College of Applied Science and Technology, Zhaoqing 526000, China;
    2 Institute of Intelligent Manufacturing, Guangzhou College of Applied Science and Technology, Zhaoqing 526000, China;
    3 College of Computers and Technology, BeiHua University, Jilin 132021, China
  • 收稿日期:2024-10-26 修回日期:2025-01-07 接受日期:2025-01-22 出版日期:2025-04-15 发布日期:2025-04-15
  • 通讯作者: Xiang-Qing Lu E-mail:lxqbhdxyjs@163.com
  • 基金资助:
    Project supported by Jilin Provincial Science and Technology Development Plan (Grant No. 20220101137JC).

Finite time hybrid synchronization of heterogeneous duplex complex networks via time-varying intermittent control

Cheng-Jun Xie(解成俊)1,2 and Xiang-Qing Lu(卢向清)1,2,3,†   

  1. 1 College of Artificial Intelligence and Electrical Engineering, Guangzhou College of Applied Science and Technology, Zhaoqing 526000, China;
    2 Institute of Intelligent Manufacturing, Guangzhou College of Applied Science and Technology, Zhaoqing 526000, China;
    3 College of Computers and Technology, BeiHua University, Jilin 132021, China
  • Received:2024-10-26 Revised:2025-01-07 Accepted:2025-01-22 Online:2025-04-15 Published:2025-04-15
  • Contact: Xiang-Qing Lu E-mail:lxqbhdxyjs@163.com
  • Supported by:
    Project supported by Jilin Provincial Science and Technology Development Plan (Grant No. 20220101137JC).

摘要: This paper study the finite time internal synchronization and the external synchronization (hybrid synchronization) for duplex heterogeneous complex networks by time-varying intermittent control. There few study hybrid synchronization of heterogeneous duplex complex networks. Therefore, we study the finite time hybrid synchronization of heterogeneous duplex networks, which employs the time-varying intermittent control to drive the duplex heterogeneous complex networks to achieve hybrid synchronization in finite time. To be specific, the switch frequency of the controllers can be changed with time by devise Lyapunov function and boundary function, the internal synchronization and external synchronization are achieved simultaneously in finite time. Finally, numerical examples are presented to illustrate the validness of theoretical results.

关键词: finite time synchronization, time-varying intermittent control, duplex heterogeneous networks, complex networks

Abstract: This paper study the finite time internal synchronization and the external synchronization (hybrid synchronization) for duplex heterogeneous complex networks by time-varying intermittent control. There few study hybrid synchronization of heterogeneous duplex complex networks. Therefore, we study the finite time hybrid synchronization of heterogeneous duplex networks, which employs the time-varying intermittent control to drive the duplex heterogeneous complex networks to achieve hybrid synchronization in finite time. To be specific, the switch frequency of the controllers can be changed with time by devise Lyapunov function and boundary function, the internal synchronization and external synchronization are achieved simultaneously in finite time. Finally, numerical examples are presented to illustrate the validness of theoretical results.

Key words: finite time synchronization, time-varying intermittent control, duplex heterogeneous networks, complex networks

中图分类号:  (Time and frequency)

  • 06.30.Ft
05.45.Vx (Communication using chaos) 05.45.Gg (Control of chaos, applications of chaos) 05.45.-a (Nonlinear dynamics and chaos)