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

doi:10.1088/1674-1056/acedf4

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.

Keywords: complex network fractional-order random coupling time-varying delay quasi-synchronization quantized control

Received: 18 April 2023
Revised: 26 July 2023
Accepted manuscript online: 08 August 2023

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	02.30.Yy	(Control theory)
	45.10.Hj	(Perturbation and fractional calculus methods)

Fund: The work was supported by the Anhui Provincial Development and Reform Commission New Energy Vehicles and Intelligent Connected Automobile Industry Technology Innovation Project.

Corresponding Authors: Dawei Ding
E-mail: dwding@ahu.edu.cn

Cite this article:

Hongwei Zhang(张红伟), Ran Cheng(程然), and Dawei Ding(丁大为) Quasi-synchronization of fractional-order complex networks with random coupling via quantized control 2023 Chin. Phys. B 32 110501

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

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