Global Exponential Stability Analysis of Wavelet Neural Network with Delays(Ⅱ)

XIAO Sheng-zhong; ZHANG Xin-zheng

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Global Exponential Stability Analysis of Wavelet Neural Network with Delays(Ⅱ)

更新时间：2026-05-27

- Global Exponential Stability Analysis of Wavelet Neural Network with Delays(Ⅱ)
- Vol. 22, Issue 3, Pages: 29-33(2005)
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- Online First：02 July 2005，
  
  Published：2005
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肖胜中, 张新政. 时滞小波神经网络的全局指数稳定性分析(Ⅱ)[J]. 广东工业大学学报, 2005, 22(3): 29-33.

XIAO Sheng-zhong, ZHANG Xin-zheng. Global Exponential Stability Analysis of Wavelet Neural Network with Delays(Ⅱ)[J]. 2005, 22(3): 29-33.
肖胜中, 张新政. 时滞小波神经网络的全局指数稳定性分析(Ⅱ)[J]. 广东工业大学学报, 2005, 22(3): 29-33. DOI：

XIAO Sheng-zhong, ZHANG Xin-zheng. Global Exponential Stability Analysis of Wavelet Neural Network with Delays(Ⅱ)[J]. 2005, 22(3): 29-33. DOI：

摘要

利用BROUWER不动点原理证明了时滞小波神经网络的平衡点的存在性

利用压缩映象原理证明了平衡点的唯一性

利用HALANAY时滞微分不等式和双对角占优矩阵的理论

讨论了时滞小波神经网络的全局指数稳定性

并得出了几个重要的结论.

Abstract

The existence and uniquence of equillibrium to DWNN are given with brouwer fixed point theory and contraction mapping theory.By means of using the Halanay differential inequality with delay and the theory of bidiagonal dominance matrice

the global exponential stable is studied

and a series of important results are obtained.

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references

赵维锐,阮炯. 具有滞后的Hopfield连续神经网络的稳定性[J]. 复旦学报(自然科学版). 1994(02)

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