Title: Hybrid projective synchronisation of fractional-order network system

Authors: Lingzhong Zhang; Xiangli Li; Junxin Xia; Jin Shang

Addresses: School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu 215500, Jiangsu, China ' School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu 215500, Jiangsu, China ' School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu 215500, Jiangsu, China ' School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu 215500, Jiangsu, China

Abstract: The hybrid projective synchronisation (HPS) of memristor-based fractional order delayed neural networks system (MFDNNs) is considered. By using the definitions and properties of differential inclusions and set-valued map, fractional order correlation inequalities are established. The hybrid projective synchronisation of MFDNNs is investigated by designing feedback controller and several criteria are derived under the frame of Razumikhin-type stability theorem and Lyapunov function method. A numerical example is given to verify the conclusion.

Keywords: hybrid projective; networks; delay; synchronisation; memristor.

DOI: 10.1504/IJMIC.2021.121821

International Journal of Modelling, Identification and Control, 2021 Vol.37 No.3/4, pp.218 - 223

Received: 02 Oct 2020
Accepted: 19 Dec 2020

Published online: 07 Apr 2022 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article