| 变时滞随机反应扩散Hopfield神经网络的稳定性 |
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| 引用本文： | 张子芳,邓瑾.变时滞随机反应扩散Hopfield神经网络的稳定性[J].四川大学学报(自然科学版),2010,47(3):451-456. |
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| 作者姓名： | 张子芳 邓瑾 |
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| 作者单位： | 1. 淮海工学院数理系,连云港,222005,
2. 四川大学数学学院,成都,610064 |
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| 基金项目： | 国家自然科学基金，淮海工学院引进人才科研基金资助项目 |
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| 摘 要： | 作者讨论了具有变时滞的随机反应扩散Hopfield神经网络的稳定性. 利用Ito公式,时滞微分不等式和神经网络的特性,作者导出了关于非常值平衡解的矩指数稳定性的代数条件. 最后作者给出了一个说明性实例.
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| 关 键 词： | 变时滞 非常值平衡解 矩指数稳定性 反应扩散神经网络 |
Stability of stochastic reaction-diffusion Hopfield neural network with time-varying delays |
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| ZHANG Zi-fang,DENG Jin.Stability of stochastic reaction-diffusion Hopfield neural network with time-varying delays[J].Journal of Sichuan University (Natural Science Edition),2010,47(3):451-456. |
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| Authors: | ZHANG Zi-fang DENG Jin |
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| Institution: | Department of Mathematics and Physics, Huaihai Institute of Technology;College of Mathematics, Sichuan University |
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| Abstract: | The main aim of this paper is to discuss moment exponential stability for a stochastic reaction-diffusion Hopfield neural network with time-varying delays. Using the Ito formula, a delays differential inequality and the characteristics of the neural network, the algebraic conditions of the moment exponential stability is derived about non-constant equilibrium solution. An example is also given for illustration. |
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| Keywords: | time-varying delays non-constant equilibrium solution moment exponential stability reaction-diffusion neural network |
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