中国物理B ›› 2023, Vol. 32 ›› Issue (11): 110501-110501.doi: 10.1088/1674-1056/acedf4

• • 上一篇    下一篇

Quasi-synchronization of fractional-order complex networks with random coupling via quantized control

Hongwei Zhang(张红伟), Ran Cheng(程然), and Dawei Ding(丁大为)   

  1. School of Electronics and Information Engineering, Anhui University, Hefei 230601, China
  • 收稿日期:2023-04-18 修回日期:2023-07-26 接受日期:2023-08-08 出版日期:2023-10-16 发布日期:2023-10-16
  • 通讯作者: Dawei Ding E-mail:dwding@ahu.edu.cn
  • 基金资助:
    The work was supported by the Anhui Provincial Development and Reform Commission New Energy Vehicles and Intelligent Connected Automobile Industry Technology Innovation Project.

Quasi-synchronization of fractional-order complex networks with random coupling via quantized control

Hongwei Zhang(张红伟), Ran Cheng(程然), and Dawei Ding(丁大为)   

  1. School of Electronics and Information Engineering, Anhui University, Hefei 230601, China
  • Received:2023-04-18 Revised:2023-07-26 Accepted:2023-08-08 Online:2023-10-16 Published:2023-10-16
  • Contact: Dawei Ding E-mail:dwding@ahu.edu.cn
  • Supported by:
    The work was supported by the Anhui Provincial Development and Reform Commission New Energy Vehicles and Intelligent Connected Automobile Industry Technology Innovation Project.

摘要: We investigate the quasi-synchronization of fractional-order complex networks (FCNs) with random coupling via quantized control. Firstly, based on the logarithmic quantizer theory and the Lyapunov stability theory, a new quantized feedback controller, which can make all nodes of complex networks quasi-synchronization and eliminate the disturbance of random coupling in the system state, is designed under non-delay conditions. Secondly, we extend the theoretical results under non-delay conditions to time-varying delay conditions and design another form of quantization feedback controller to ensure that the network achieves quasi-synchronization. Furthermore, the error bound of quasi-synchronization is obtained. Finally, we verify the accuracy of our results using two numerical simulation examples.

关键词: complex network, fractional-order, random coupling, time-varying delay, quasi-synchronization, quantized control

Abstract: We investigate the quasi-synchronization of fractional-order complex networks (FCNs) with random coupling via quantized control. Firstly, based on the logarithmic quantizer theory and the Lyapunov stability theory, a new quantized feedback controller, which can make all nodes of complex networks quasi-synchronization and eliminate the disturbance of random coupling in the system state, is designed under non-delay conditions. Secondly, we extend the theoretical results under non-delay conditions to time-varying delay conditions and design another form of quantization feedback controller to ensure that the network achieves quasi-synchronization. Furthermore, the error bound of quasi-synchronization is obtained. Finally, we verify the accuracy of our results using two numerical simulation examples.

Key words: complex network, fractional-order, random coupling, time-varying delay, quasi-synchronization, quantized control

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
02.30.Yy (Control theory) 45.10.Hj (Perturbation and fractional calculus methods)