Global Stability of Delayed Hopfield Neural Network Models

ZHANG Ji-ye; YANG Yi-ren; ZENG Jing

Volume 14 Issue 5

Oct. 2001

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Article Contents

Journal of Southwest Jiaotong University > 2001 > 14(5): 522-525.

ZHANG Ji-ye, YANG Yi-ren, ZENG Jing. Global Stability of Delayed Hopfield Neural Network Models[J]. Journal of Southwest Jiaotong University, 2001, 14(5): 522-525.

Citation:

ZHANG Ji-ye, YANG Yi-ren, ZENG Jing. Global Stability of Delayed Hopfield Neural Network Models[J]. Journal of Southwest Jiaotong University, 2001, 14(5): 522-525.

ZHANG Ji-ye, YANG Yi-ren, ZENG Jing. Global Stability of Delayed Hopfield Neural Network Models[J]. Journal of Southwest Jiaotong University, 2001, 14(5): 522-525.

Citation:

ZHANG Ji-ye, YANG Yi-ren, ZENG Jing. Global Stability of Delayed Hopfield Neural Network Models[J]. Journal of Southwest Jiaotong University, 2001, 14(5): 522-525.

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Global Stability of Delayed Hopfield Neural Network Models

Publish Date: 25 Oct 2001

Abstract

Abstract

The existence of equilibrium and global stability are analyzed for delayed Hopfield neural network models, which have no the original requirements for monotonicity and differentiability in the activation function. By using M matrix theory, Liapunov functionals are constructed to establish the sufficient conditions for global asymptotic stability, thus the existing relevant results are improved.
- delay,
- neural network,
- global asymptotic stability,
- M matrix