Title: Stabilisation of Cellular Neural Networks with time-varying delays and reaction-diffusion terms

Authors: Xuyang Lou, Baotong Cui

Addresses: College of Communication and Control Engineering, Jiangnan University, 1800 Lihu Road, Wuxi, Jiangsu 214122, China; CSIRO Division of Mathematical and Information Sciences, Waite Road, Urrbrae, SA 5064, Australia. ' College of Communication and Control Engineering, Jiangnan University, 1800 Lihu Road, Wuxi, Jiangsu 214122, China; Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore

Abstract: This paper deals with the stabilisation problem of Cellular Neural Networks with time-varying delays and reaction-diffusion terms. By constructing proper Lyapunov functionals with respect to the space variables, the stabilisation conditions of delayed CNN with reaction-diffusion terms are derived. A feedback controller is designed to ensure the global asymptotical stability of the equilibrium point. The given algebra criteria are easy to verify which bring some convenience for those who design and verify these neural networks and the results make a preparation for the research about stabilisation of delayed neural networks and further the earlier researches. A numerical example illustrates the effectiveness of the results.

Keywords: CNN; cellular neural networks; Lyapunov functional; reaction-diffusion terms; stabilisation; time-varying delays.

DOI: 10.1504/IJISTA.2009.022685

International Journal of Intelligent Systems Technologies and Applications, 2009 Vol.6 No.1/2, pp.5 - 21

Published online: 25 Jan 2009 *

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