Global Attractivity and Global Exponential Stability for Delayed Hopfield Neural Network Models

PU Zhi-lin; XU Dao-yi

Volume 22 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(6): 633-638

PU Zhi-lin, XU Dao-yi. Global Attractivity and Global Exponential Stability for Delayed Hopfield Neural Network Models[J]. Applied Mathematics and Mechanics, 2001, 22(6): 633-638.

Citation:

PU Zhi-lin, XU Dao-yi. Global Attractivity and Global Exponential Stability for Delayed Hopfield Neural Network Models[J]. Applied Mathematics and Mechanics, 2001, 22(6): 633-638.

Citation:

PU Zhi-lin, XU Dao-yi. Global Attractivity and Global Exponential Stability for Delayed Hopfield Neural Network Models[J]. Applied Mathematics and Mechanics, 2001, 22(6): 633-638.

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Global Attractivity and Global Exponential Stability for Delayed Hopfield Neural Network Models

PU Zhi-lin^1,2,
XU Dao-yi²

1.
Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China;
2.
Department of Mathematics, Sichuan University, Chengdu 610064, P R China

Received Date: 1999-11-23
Rev Recd Date: 2000-05-16
Publish Date: 2001-06-15

Abstract

Abstract

Some global properties such as global attractivity and global exponential stability for delayed Hopfield neural networks model,under the weaker assumptions on nonlinear activation functions,are concerned.By constructing suitable Liapunov function,some simpler criteria for global attractivity and global exponential stability for Hopfield continuous neural networks with time delays are presented.
- neural networks,
- global attractivity,
- global exponential stability

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References(10)

References

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