Title: Exponential stability of cellular neural networks with time-varying delay

Authors: Xue-li Wu, Wen-xia Du, Yan-hong Wang, Zhan-tong Zhou

Addresses: Yanshan University, No. 438 Hebei Street, Qinhuangdao, Hebei Province, 066004, P.R. China; College of Electronic Engineering and Information, Hebei University of Science and Technology, No. 70 Yuhua East Road, Shijiazhuang, Hebei Province, 050018, P.R. China. ' Yanshan University, No. 438 Hebei Street, Qinhuangdao, Hebei Province, 066004, P.R. China; Hebei Normal University, No. 113 Yuhua East Road, Shijiazhuang, Hebei Province, 050016, P.R. China. ' College of Electronic Engineering and Information, Hebei University of Science and Technology, No. 70 Yuhua East Road, Shijiazhuang, Hebei Province, 050018, P.R. China. ' College of Electronic Engineering and Information, Hebei University of Science and Technology, No. 70 Yuhua East Road, Shijiazhuang, Hebei Province, 050018, P.R. China

Abstract: Time-delay appears frequently in the neural network study, and it is often a source of instability and oscillations in a system. It is very important to research the stability of delayed neural networks, especially for neural networks with time-varying delays. In this paper, a novel method is proposed for the exponential stability of cellular neural networks with time-varying delays. New delay-dependent exponential stability conditions of cellular neural network with time-varying delays are presented by constructing Lyapunov functional and using linear matrix inequality (LMI). Finally, numerical examples are given to demonstrate the effect of the proposed method.

Keywords: delayed cellular neural networks; DCNNs; Lyapunov function; linear matrix inequality; LMI; exponential stability; identification; control; time-varying delays; instability; oscillations.

DOI: 10.1504/IJMIC.2009.029025

International Journal of Modelling, Identification and Control, 2009 Vol.8 No.2, pp.130 - 138

Available online: 27 Oct 2009 *

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