具有变时滞和脉冲效应的Hopfield神经网络的全局指数稳定性

杨志春; 徐道义

具有变时滞和脉冲效应的Hopfield神经网络的全局指数稳定性

杨志春^1,2,
徐道义²

1.
重庆师范大学数学学院,重庆 400047;2.四川大学长江数学中心,成都 610064

基金项目: 国家自然科学基金资助项目(10371083)

详细信息

作者简介:
杨志春(1971- ),男,重庆人,副教授,博士(联系人.E-mail:zhichy@yahoo.com.cn);徐道义(1948- ),男,四川人,教授,博士生导师.

中图分类号: O175；TP711
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出版历程
- 收稿日期: 2004-10-30
- 修回日期: 2006-07-26
- 刊出日期: 2006-11-15

Global Exponential Stability of Hopfield Neural Networks With Variable Delays and Impulsive Effects

YANG Zhi-chun^1,2,
XU Dao-yi²

1.
Mathematics College, Chongqing Normal University, Chongqing 400047, P. R. China;

摘要

摘要: 讨论了一类具有变时滞和脉冲效应的Hopfield神经网络模型．利用按段连续的向量Liapunov思想方法,研究了脉冲时滞神经网络的全局指数稳定性．例子及其数值仿真说明了结果的有效性．推广和改进了已有文献的一些结果．
- 神经网络 /
- 脉冲 /
- 变时滞 /
- 稳定性
Abstract: A class of Hopfield neural network with time-varying delays and impulsive effects is concerned.Some sufficient conditions ensuring the global exponential stability of impulsive delay neural networks by applying the piecewise continuous vector Lyapunov function were obtained.An example and its simulation are given to illustrate the effectiveness of the results.
- neural network /
- impulse /
- varying delay /
- stability

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参考文献(16)

[1]	Marcus C M,Westervelt R M.Stability of analog neural networks with delay[J].Phys Rev A,1989,39(1):347—359. doi: 10.1103/PhysRevA.39.347
[2]	Panas A I,Yang T，Chua L O.Experimental results of impulsive synchronization between two Chua's circuits[J].Internat J Bifurcation Chaos Appl Sci Eng,1998,8(3):639—644. doi: 10.1142/S0218127498000437
[3]	刘斌,刘新芝,廖晓昕.脉冲Hopfield神经网络的鲁棒H-稳定性及其脉冲控制器设计[J].控制理论与应用,2003,20(2):169—172.
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[5]	YANG Zhi-chun,XU Dao-yi.Stability analysis of delay neural networks with impulsive effects[J].IEEE Transactions on Circuits and Systems Ⅱ,2005,52(8):517—521. doi: 10.1109/TCSII.2005.849032
[6]	GUAN Zhi-hong,CHEN Guan-rong.On delayed impulsive Hopfield neural networks[J].Neural Networks,1999,12(2):273—280. doi: 10.1016/S0893-6080(98)00133-6
[7]	Driessche P V D, Zou X F.Global attractivity in delayed Hopfield neural network models[J].SIAM J Appl Math,1998,58(16):1878—1890. doi: 10.1137/S0036139997321219
[8]	曹进德,李继彬.具有交互神经传递的神经网络的稳定性[J].应用数学和力学,1998,19(5):425—430.
[9]	Mohamad S.Global exponential stability of continuous-time and discrete-time delayed bidi rectional neural networks[J].Phys D,2001,159(3):233—251. doi: 10.1016/S0167-2789(01)00344-X
[10]	XU Dao-yi,ZHAO Hong-yong,ZHU Hong. Global dynamics of Hopfield neural networks involving variable delays[J].Computers and Mathematics With Applications,2001,42(1):39—45. doi: 10.1016/S0898-1221(01)00128-6
[11]	WANG Lin-shan,XU Dao-yi.Stability for Hopfield neural networks with time delays[J].Journal of Vibration and Control,2002,8(1):13—18. doi: 10.1177/1077546302008001527
[12]	王林山,徐道义.Hopfield型时滞神经网络的稳定性分析[J].应用数学和力学,2002,23(1):59—64.
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具有变时滞和脉冲效应的Hopfield神经网络的全局指数稳定性

作者简介:
杨志春(1971- ),男,重庆人,副教授,博士(联系人.E-mail:zhichy@yahoo.com.cn);徐道义(1948- ),男,四川人,教授,博士生导师.

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Global Exponential Stability of Hopfield Neural Networks With Variable Delays and Impulsive Effects

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具有变时滞和脉冲效应的Hopfield神经网络的全局指数稳定性

作者简介: 杨志春(1971- ),男,重庆人,副教授,博士(联系人.E-mail:zhichy@yahoo.com.cn);徐道义(1948- ),男,四川人,教授,博士生导师.

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出版历程

Global Exponential Stability of Hopfield Neural Networks With Variable Delays and Impulsive Effects

计量

出版历程

目录

作者简介:
杨志春(1971- ),男,重庆人,副教授,博士(联系人.E-mail:zhichy@yahoo.com.cn);徐道义(1948- ),男,四川人,教授,博士生导师.