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Stability of a class of neural network models with delay

Authors:

Institution:

1. Adult Education College, Yunnan University, Kunming 650091, P R China;2. Department of Basic Course, Kunming University of Science and Technology, Kunming 650093, P R China

Abstract:

In this paper, by using Liapunov functional, some sufficient conditions are obtained for the stability of the equilibrium of a neural network model with delay of the type

$u'_i \left( t \right) = - b_i u_i \left( t \right) + \sum\limits_{j = 1}^n {T_{ij} f_j } \left( {\mu _j u_j \left( {t - \tau _j } \right)} \right) + c_i ,\tau _j \geqslant 0,i = 1,2 \cdots ,n.$

Foundation item: the Natural Science Foundation of Education Committee in Yunnan (9542054); the Natural Science Foundation of Yuman Province (97A012G)

Keywords:

delay neural network stability

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