时滞小波神经网络的全局指数稳定性分析(Ⅱ)

广东工业大学学报 ›› 2005, Vol. 22 ›› Issue (3): 29-33.

时滞小波神经网络的全局指数稳定性分析(Ⅱ)

广东工业大学自动化学院；广东工业大学自动化学院广东广州510090；广东农工商学院；广东广州510507；广东广州510090；

出版日期:2005-07-02 发布日期:2005-07-02
基金资助:
国家自然科学基金资助(60274030);广东省科技攻关项目(C31801)

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

(1.Faculty of Automation,Guangdong University of Technology,Guangzhou 510090,China;2.Guangdong AIB College,Guangzhou 510507,China)

Online:2005-07-02 Published:2005-07-02

摘要/Abstract

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.

关键词: 小波；神经网络；时滞；全局指数稳定；

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.

Key words: wavelet； neural network； delay； the global exponential stable；

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~(1,2),ZHANG Xin-zheng~2 . Global Exponential Stability Analysis of Wavelet Neural Network with Delays(Ⅱ)[J]. Journal of Guangdong University of Technology, 2005, 22(3): 29-33.

参考文献

[1] 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)

[1] Cao Y J,Wu Q H.A note on stability of analong neural network with delay. IEEE Transactions on Neural Networks . 1996

[2] Zhang Y.Global exponential stability and periodic solution of Hopfield neural network with delay. International Journal of System Science . 1996

[3] Xiao Sheng-zhong.Global exponential stability analysis of wavelet neural networks. INFORMATION . 2003

[4] Gapalsmy K,He X Z.Stability in asymmetric Hopfield network with delays. Journal of Physics D Applied Physics . 1994

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