Stability of a Class of Neural Network Models with Delay

Cao Jinde; Lin Yiping

Volume 20 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(8): 851-855

Cao Jinde, Lin Yiping. Stability of a Class of Neural Network Models with Delay[J]. Applied Mathematics and Mechanics, 1999, 20(8): 851-855.

Citation:

Cao Jinde, Lin Yiping. Stability of a Class of Neural Network Models with Delay[J]. Applied Mathematics and Mechanics, 1999, 20(8): 851-855.

Citation:

Cao Jinde, Lin Yiping. Stability of a Class of Neural Network Models with Delay[J]. Applied Mathematics and Mechanics, 1999, 20(8): 851-855.

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Stability of a Class of Neural Network Models with Delay

Cao Jinde¹,
Lin Yiping²

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

Received Date: 1996-12-16
Rev Recd Date: 1999-02-04
Publish Date: 1999-08-15

Abstract

Abstract

In this paper, by using L yapunov functional, some sufficient conditions are obtained for the stability of the equilibrium of a neural network model with delay of the type τ_j≥0,i=1,2,…,n.
- delay,
- neural network,
- stability

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References(4)

References

[1]	Gopalsamy K,He X Z.Stability in asymmetric Hopfield nets with transmission delays[J].Physica D,1994,76:344~358.
[2]	Cao Jinde,Li Qiong.Convergence in continuous Hopfield neural network with delay[J].J Biomath,1996,11(4):12~15.
[3]	曹进德,万世栋.具时滞的Hopfield型神经网络的全局渐近稳定性[J].生物数学学报,1997,12(1):60~63.
[4]	Gopalsamy K.Stability and Oscillations in Delay Differential Equations of Population Dynamics[M].Dordrecht:Kluwer Academic Publishers,1992.

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