Title: Global exponential synchronisation of a class of chaotic neural networks with distributed delays

Authors: Xuyang Lou, Baotong Cui

Addresses: College of Communication and Control Engineering, Jiangnan University, 1800 Lihu Road, Wuxi, Jiangsu 214122, PR China; CSIRO Division of Mathematical and Information Sciences, Waite Road, Urrbrae, South Australia 5064, Australia. ' College of Communication and Control Engineering, Jiangnan University, 1800 Lihu Road, Wuxi, Jiangsu 214122, PR China

Abstract: This paper discusses the problem of exponential synchronisation for a class of chaotic neural networks which covers the Hopfield neural networks and cellular neural networks with distributed delays. Through the Lyapunov functional method and Hermitian matrices theory, a feedback control law is derived and its feedback gain matrix is designed to satisfy a certain Hamiltonian matrix without eigenvalues on the imaginary axis instead of directly solving an algebraic Riccati equation. Our results have been shown to be more extensive, less restrictive and easier to verify than those reported previously, which prepares the path for further research about synchronisation of delayed neural networks.

Keywords: exponential synchronisation; chaotic neural networks; distributed delays; Hamiltonian matrix; Lyapunov functional; feedback control; Hermitian matrices.

DOI: 10.1504/IJMIC.2008.020547

International Journal of Modelling, Identification and Control, 2008 Vol.3 No.4, pp.385 - 391

Published online: 29 Sep 2008 *

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