Global Asymptotic Stability for Hopfield-Type Neural Networks With Diffusion Effects

YAN Xiang-ping; LI Wan-tong

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YAN Xiang-ping, LI Wan-tong. Global Asymptotic Stability for Hopfield-Type Neural Networks With Diffusion Effects[J]. Applied Mathematics and Mechanics, 2007, 28(3): 328-334.

Citation:

YAN Xiang-ping, LI Wan-tong. Global Asymptotic Stability for Hopfield-Type Neural Networks With Diffusion Effects[J]. Applied Mathematics and Mechanics, 2007, 28(3): 328-334.

Citation:

YAN Xiang-ping, LI Wan-tong. Global Asymptotic Stability for Hopfield-Type Neural Networks With Diffusion Effects[J]. Applied Mathematics and Mechanics, 2007, 28(3): 328-334.

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Global Asymptotic Stability for Hopfield-Type Neural Networks With Diffusion Effects

YAN Xiang-ping¹,
LI Wan-tong²

1.
Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China;

Received Date: 2006-09-18
Rev Recd Date: 2006-12-31
Publish Date: 2007-03-15

Abstract

Abstract

The existence,uniqueness and global asymptotic stability of the equilibrium for Hopfield-type neural networks with diffusion were discussed.The sufficient conditions of the existence and uniqueness of the equilibrium of the system were obtained by applying the topological degree theory when the activation functions are monotonous non-decreasing and differential,and the interconnected matrix is related to the Lianupov diagonal stable matrix.By constructing the average Liapunov functions,the global asymptotic stability of the equilibrium of the system was obtained.
- diffusion,
- neural networks,
- equilibrium,
- global asymptotic stability

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References(17)

References

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