| 一类分数阶Hopfield神经网络的鲁棒指数稳定性 |
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| 引用本文： | 刘孝磊,盖明久,崔世维.一类分数阶Hopfield神经网络的鲁棒指数稳定性[J].数学研究及应用,2015,35(6):653-658. |
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| 作者姓名： | 刘孝磊 盖明久 崔世维 |
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| 作者单位： | 海军航空工程学院系统科学与数学研究所, 山东 烟台 264001;海军航空工程学院系统科学与数学研究所, 山东 烟台 264001;海军航空工程学院系统科学与数学研究所, 山东 烟台 264001 |
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| 基金项目： | 山东省自然科学基金(Grant No.ZR2011FQ002). |
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| 摘 要： | 本文研究了一类具有Caputo导数的分数阶Hopfield神经网络的鲁棒指数稳定性, 得到了保证其鲁棒指数稳定性的一些充分条件. 最后利用数值仿真验证了结论的正确性和有效性.
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| 关 键 词： | 分数阶神经网络 Gronwall 不等式 鲁棒指数稳定性 |
| 收稿时间： | 2014/11/7 0:00:00 |
| 修稿时间： | 2014/12/12 0:00:00 |
Robust Exponential Stability of a Class of Fractional Order Hopfield Neural Networks |
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| Xiaolei LIU,Mingjiu GAI and Shiwei CUI.Robust Exponential Stability of a Class of Fractional Order Hopfield Neural Networks[J].Journal of Mathematical Research with Applications,2015,35(6):653-658. |
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| Authors: | Xiaolei LIU Mingjiu GAI and Shiwei CUI |
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| Institution: | Institute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Shandong 264001, P. R. China;Institute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Shandong 264001, P. R. China;Institute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Shandong 264001, P. R. China |
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| Abstract: | In this paper, we investigate the robust exponential stability of a class of fractional order Hopfield neural network with Caputo derivative, and we get some sufficient conditions to guarantee its robust exponential stability. Finally, we use one numerical simulation example to illustrate the correctness and effectiveness of our results. |
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| Keywords: | fractional order neural networks Gronwall inequality robust exponential stability |
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