| 随机时滞Hopfield型神经网络的几乎指数稳定性 |
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| 引用本文： | 王晓慧,许永龙.随机时滞Hopfield型神经网络的几乎指数稳定性[J].天津师范大学学报(自然科学版),2006,26(2):41-44. |
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| 作者姓名： | 王晓慧 许永龙 |
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| 作者单位： | 天津师范大学,管理学院,天津,300384 |
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| 基金项目： | 国家高技术研究发展计划(863计划);天津市社会科学基金 |
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| 摘 要： | 利用Lyapunov泛函和Ito公式，研究了具有时滞的随机Hopfield型神经网络的几乎指数稳定性，证明了一个定理和两个推论．当随机扰动为0时，得到确定性的时滞神经网络指数稳定性的结果．
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| 关 键 词： | 神经网络 随机扰动 时滞 几乎指数稳定性 |
| 文章编号： | 1671-1114(2006)02-0041-04 |
| 修稿时间： | 2005年11月23 |
Almost Surely Exponential Stability of a Hopfield Type Stochastic Neural Network with Time Delay |
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| WANG Xiao-hui,XU Yong-long.Almost Surely Exponential Stability of a Hopfield Type Stochastic Neural Network with Time Delay[J].Journal of Tianjin Normal University(Natural Science Edition),2006,26(2):41-44. |
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| Authors: | WANG Xiao-hui XU Yong-long |
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| Abstract: | The almost surely exponential stability of a Hopfield type stochastic neural network was studied by using the Lyapunov function and It formula,and a theorem and two corollaries were proved.The results showed that when the stochastic perturbation was zero,the network became a deterministic type. |
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| Keywords: | neural network stochastic perturbation time delay almost surely exponential stability |
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