| 变时滞随机模糊细胞神经网络的均方指数稳定性研究 |
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| 引用本文： | 龙思成,张浩敏.变时滞随机模糊细胞神经网络的均方指数稳定性研究[J].湖南城市学院学报(自然科学版),2011,20(2):40-43. |
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| 作者姓名： | 龙思成 张浩敏 |
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| 作者单位： | 1. 中南大学数学科学与计算技术学院,长沙,410075
2. 桂林理工大学理学院,广西桂林,541004 |
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| 摘 要： | 研究变时滞随机模糊细胞神经网络的均方指数稳定性,利用Ito公式及Lyapunov泛函方法得到其均方指数稳定的判据,并举例说明了理论结果的有效性.
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| 关 键 词： | 变时滞 随机模糊细胞神经网络 均方指教稳定 |
Mean Square Exponential Stability of Stochastic Fuzzy Cellular Neural Networks with Time-varying Delays |
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| LONG Si-cheng,ZHANG Hao-min.Mean Square Exponential Stability of Stochastic Fuzzy Cellular Neural Networks with Time-varying Delays[J].Journal of Hunan City University:Natural Science,2011,20(2):40-43. |
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| Authors: | LONG Si-cheng ZHANG Hao-min |
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| Institution: | 1.School of Mathematical Sciences and Computing Technology,Central South University,Changsha,Hunan 410075,China;2.School of Science,Guilin University of Technology,Guilin,Guangxi 541004,China) |
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| Abstract: | The problem of mean square exponential stability of stochastic fuzzy cellular neural network with time-varying delays is investigated in this paper.Based on the Ito formula and the Lyapunov functional approach,a novel criterion ensuring the stochastic fuzzy cellular neural network with time-varying delays to be mean square exponentially stable that is obtained.Finally,two examples are provided to demonstrate the correctness of our result. |
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| Keywords: | time-varying delays stochastic fuzzy cellular neural network mean square exponential stability |
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