| 随机区间时滞Hopfield 神经网络的指数稳定性 |
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| 引用本文： | 张玉民,姚宏善,沈轶,廖晓昕.随机区间时滞Hopfield 神经网络的指数稳定性[J].华中科技大学学报(自然科学版),2004,32(2):29-31,37. |
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| 作者姓名： | 张玉民 姚宏善 沈轶 廖晓昕 |
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| 作者单位： | 华中科技大学,控制科学与工程系,湖北,武汉,430074;中南财经政法大学,信息学院,湖北,武汉,430074 |
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| 基金项目： | 国家自然科学基金资助项目 (60074008, 60274026);博士学科点专项基金资助项目(20010487005). |
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| 摘 要： | 讨论了一类带有可变时滞的随机区间Hopfield神经网络的指数稳定性，利用李雅普罗夫函数和Razunlinkhin-定理，得到了一些关于该系统均方指数稳定与几乎必然稳定的时滞无关和时滞相关的充分性判据，推广了现有文献中关于定常时滞及其确定形式的一些结果．
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| 关 键 词： | 随机区间Hopfield 神经网络 李雅普罗夫函数 Razumikhin定理 鲁棒稳定性 |
| 文章编号： | 1671-4512(2004)02-0029-03 |
| 修稿时间： | 2003年3月24日 |
Exponential stability of stochastic interval Hopfield Neural Networks with variable-delays |
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| Zhang Yumin Yao Hongshan Shen Yi Liao XiaoxinDoctoral Candidate, Dept. of Control Sci. an d Eng.,Huazhong Univ. of Sci. & Tech.,Wuhan ,China..Exponential stability of stochastic interval Hopfield Neural Networks with variable-delays[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2004,32(2):29-31,37. |
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| Authors: | Zhang Yumin Yao Hongshan Shen Yi Liao XiaoxinDoctoral Candidate Dept of Control Sci an d Eng Huazhong Univ of Sci & Tech Wuhan China |
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| Institution: | Zhang Yumin Yao Hongshan Shen Yi Liao XiaoxinDoctoral Candidate, Dept. of Control Sci. an d Eng.,Huazhong Univ. of Sci. & Tech.,Wuhan 430074,China. |
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| Abstract: | A type of stochastic interval Hopfield Neural Network w ith time-varying delayed was studied. Using Lyapunov function and Razumikhin th eorem, some new delay-dependent and delay-independent sufficient criteria of i ts mean square global exponential stability or almost surely global exponential stability were given. All the results were generalizations of some recent result s reported in the literature for stochastic Neural Networks with constant delays or some certain cases with variable-delays. |
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| Keywords: | stochastic interval delayed Hopfield Neural N etwork Lyapunov function Razumikhin theorem robust stability |
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