中国物理B ›› 2022, Vol. 31 ›› Issue (10): 100504-100504.doi: 10.1088/1674-1056/ac686b

• GENERAL • 上一篇    下一篇

Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive 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:2022-03-07 修回日期:2022-04-05 出版日期:2022-10-16 发布日期:2022-09-30
  • 通讯作者: Dawei Ding E-mail:dwding@ahu.edu.cn

Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive 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:2022-03-07 Revised:2022-04-05 Online:2022-10-16 Published:2022-09-30
  • Contact: Dawei Ding E-mail:dwding@ahu.edu.cn

摘要: The finite-time synchronization of fractional-order multi-weighted complex networks (FMCNs) with uncertain parameters and external disturbances is studied. Firstly, based on fractional calculus characteristics and Lyapunov stability theory, quantized controllers are designed to guarantee that FMCNs can achieve synchronization in a limited time with and without coupling delay, respectively. Then, appropriate parameter update laws are obtained to identify the uncertain parameters in FMCNs. Finally, numerical simulation examples are given to validate the correctness of the theoretical results.

关键词: fractional-order complex networks, uncertain parameter, finite-time synchronization, quantized control

Abstract: The finite-time synchronization of fractional-order multi-weighted complex networks (FMCNs) with uncertain parameters and external disturbances is studied. Firstly, based on fractional calculus characteristics and Lyapunov stability theory, quantized controllers are designed to guarantee that FMCNs can achieve synchronization in a limited time with and without coupling delay, respectively. Then, appropriate parameter update laws are obtained to identify the uncertain parameters in FMCNs. Finally, numerical simulation examples are given to validate the correctness of the theoretical results.

Key words: fractional-order complex networks, uncertain parameter, finite-time synchronization, quantized control

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Xt (Synchronization; coupled oscillators) 02.30.Yy (Control theory)