Some New Stability Conditions of Delayed Neural Networks with Saturation Activation Functions

Authors:
Wudai Liao;Dongyun Wang;Jianguo Xu;Xiaoxin Liao
Affiliations:
Zhongyuan University of Technology, Zhengzhou Henan 450007, China;Zhongyuan University of Technology, Zhengzhou Henan 450007, China;Zhongyuan University of Technology, Zhengzhou Henan 450007, China;Huazhong University of Science and Technology, Wuhan Hubei 430074, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Year:
2007

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Abstract

Locally and globally asymptotical stability on equilibria of delayed neural networks with saturation activation functions are studied by the Razumikhin-type theorems, which are the main approaches to study the stability of functional differential equations, and some new stability conditions are obtained, which are constructed by the networks' parameters. In the case of local stability conditions, the attracted fields of equilibria are also estimated. All results obtained in this paper need only to compute the eigenvalues of some matrices or to verify some inequalities to be holden.