Title: Input-to-state stability for a class of delayed dynamical systems

Authors: Xuyang Lou, Baotong Cui

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

Abstract: This paper is concerned with the input-to-state stability (ISS) problem for a class of neural networks with time-varying delay. Some criteria are proposed to guarantee ISS which also ensures the neural networks to be globally asymptotically stable by exploiting Lyapunov stability theory and some analysis techniques. The applicability of these conditions is illustrated by two examples. Our results make a preparation for the research about ISS of delayed neural networks and generalise some existing ones.

Keywords: delayed neural networks; input-to-state stability; ISS; Lyapunov functional; time-varying delay.

DOI: 10.1504/IJMIC.2008.021773

International Journal of Modelling, Identification and Control, 2008 Vol.5 No.1, pp.38 - 44

Published online: 03 Dec 2008 *

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