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Title: Single controller for synchronisation of coupled neural networks with distributed time-varying delays

Authors: Cheng-De Zheng; Fan Xie

Addresses: School of Science, Dalian Jiaotong University, Dalian, 116028, China ' School of Science, Dalian Jiaotong University, Dalian, 116028, China

Abstract: This paper deals with global synchronisation in arrays of delayed chaotic neural networks with nonlinear hybrid coupling. By constructing a new Lyapunov-Krasovskii functional, a novel synchronisation criterion is presented in terms of matrix inequalities based on Chen's integral inequalities and reciprocal convex technique. These established conditions are heavily dependent on the bounds of both time-delay and its derivative. Through employing Matlab Toolbox and adjusting some matrix parameters in the derived results, the design and applications of the generalised networks can be realised. The effectiveness and applicability of the proposed methods is demonstrated by a numerical example with simulations.

Keywords: synchronisation; matrix inequality; hybrid coupled neural networks; reciprocal convex technique.

DOI: 10.1504/IJDSDE.2021.113904

International Journal of Dynamical Systems and Differential Equations, 2021 Vol.11 No.1, pp.45 - 68

Received: 28 Dec 2018
Accepted: 07 May 2019

Published online: 21 Mar 2021 *

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