Global Asymptotic Stability of Cellular Neutral Networks With Variable Coefficients and Time-Varying Delays

Authors:
Yonggui Kao;Cunchen Gao;Lijing Zhang
Affiliations:
College of Information Science and Engineering, Ocean University of China, China and Department of Mathematics, ZaoZhuang University , ZaoZhuang 277160, China;Department of Mathematics, Ocean University of China, Qingdao 266071, China;College of Information Science and Engineering, Ocean University of China, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Year:
2007

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Abstract

In this paper, we study the global asymptotic stability properties of cellular neural networks with variable coefficients and time varying delays. We present sufficient conditions for the global asymptotic stability of the neural networks . The proposed conditions, which are applicable to all continuous nonmonotonic neuron activation functions and do not require the interconnection matrices to be symmetric, establish the relationships between network parameters of the neural systems and the delay parameters. Some examples show that our results are new and improve the previous results derived in the literature.