Stability analysis of uncertain neural networks with linear and nonlinear time delays

Authors:
Hanlin He;Zhongsheng Wang;Xiaoxin Liao
Affiliations:
College of Sciences, Naval University of Engineering, Wuhan, Hubei, China;Department of Electrical Engineering, ZhongYuan Institute of Technology, Zhengzhou, Henan, China;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, China
Venue:
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Year:
2005

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Abstract

A method is proposed for stability analysis of neural networks with linear and nonlinear time delays. Given a neural network and the corresponding generalized algebraic Riccati equation with two unknown positive matrices, using the Razumikhin-type theory, the problem of insuring the globally asymptotic stability of the neural networks with linear and nonlinear time delays is obtained.