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 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
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.
Fund: Project supported by Jilin Provincial Science and Technology Development Plan (Grant No. 20220101137JC).
Corresponding Authors:
Xiang-Qing Lu
E-mail: lxqbhdxyjs@163.com
Cite this article:
Cheng-Jun Xie(解成俊) and Xiang-Qing Lu(卢向清) Finite time hybrid synchronization of heterogeneous duplex complex networks via time-varying intermittent control 2025 Chin. Phys. B 34 040601
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