| 随机变时滞递归神经网络的几乎指数稳定性 |
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| 引用本文： | 刘岩,孙多青,张力超,肖淬艺. 随机变时滞递归神经网络的几乎指数稳定性[J]. 河北科技师范学院学报, 2009, 23(3): 40-43 |
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| 作者姓名： | 刘岩 孙多青 张力超 肖淬艺 |
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| 作者单位： | 河北科技师范学院,数理系,066004,河北,秦皇岛;河北科技师范学院,数学与系统科学研究所;燕山大学,里仁学院,基础教学部 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究了一类随机变时滞递归神经网络的几乎指数稳定性问题。利用Lyapunov函数方法和Ito公式,结合矩阵分析技巧,给出了系统几乎指数稳定的判别准则。数值例子说明了该结果的有效性。
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| 关 键 词： | 递归神经网络 变时滞 几乎指数稳定性 |
Almost Surely Exponential Stability of Stochastic Recurrent Neural Networks with Time-varying Delays |
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| LIU Yan,SUN Duo-qing,ZHANG Li-chao,XIAO Cui-yi. Almost Surely Exponential Stability of Stochastic Recurrent Neural Networks with Time-varying Delays[J]. Journal of Hebei Normal University of Science & Technology, 2009, 23(3): 40-43 |
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| Authors: | LIU Yan SUN Duo-qing ZHANG Li-chao XIAO Cui-yi |
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| Affiliation: | LIU Yan , SUN Duo-qing , ZHANG Li-chao, XIAO Cui-yi (1 Dept of Mathematics and Physics,Hebei Normal University of Science ＆ Technology, Qinhuangdao Hebei,066004 ; 2 Institute of Mathematics and Systems Science, Hebei Normal University of Science ＆ Technology;3 Foundational Department, Liren College, Yanshan University; China) |
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| Abstract: | The almost surely exponential stability of stochastic recurrent neural networks with time-varying delays is investigated. By using Lyapunov function and It o formula, combining some matrix analytical techniques,some new criteria on almost surely exponential stability are obtained. A numerical example is given to demonstrate the effectiveness of the results. |
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| Keywords: | recurrent neural networks time-varying delays almost surely exponential stability |
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