| 一类分数阶Hopfield神经网络的Mittag-Leffler稳定性 |
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| 引用本文： | 刘孝磊,马翠玲,郝树艳. 一类分数阶Hopfield神经网络的Mittag-Leffler稳定性[J]. 吉首大学学报(自然科学版), 2015, 36(5): 21-26. DOI: 10.3969/j.cnki.jdxb.2015.05.005 |
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| 作者姓名： | 刘孝磊 马翠玲 郝树艳 |
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| 作者单位： | （海军航空工程学院基础部数学教研室，山东 烟台 264001） |
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| 摘 要： | 研究了Caputo导数形式下的一类分数阶Hopfield神经网络的Mittag-Leffler稳定性.利用Mittag-Leffler函数的相关性质，得到该类系统平衡点的存在性与唯一性的充分条件，进而得到该类分数阶Hopfield神经网络的Mittag-Leffler稳定性的充分条件.最后，利用仿真实例验证了该结果的正确性与有效性.
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| 关 键 词： | 分数阶神经网络 Mittag-Leffler函数 Mittag-Leffler稳定性 |
Mittag-Leffler Stability of a Class of Fractional Order Hopfield Neural Networks |
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| LIU Xiao-Lei,MA Cui-Ling,HAO Shu-Yan. Mittag-Leffler Stability of a Class of Fractional Order Hopfield Neural Networks[J]. Journal of Jishou University(Natural Science Edition), 2015, 36(5): 21-26. DOI: 10.3969/j.cnki.jdxb.2015.05.005 |
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| Authors: | LIU Xiao-Lei MA Cui-Ling HAO Shu-Yan |
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| Affiliation: | (Institute of System Science and Mathematics,Naval Aeronautical and Astronautical University,Yantai 264001,Shandong China) |
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| Abstract: | In this paper,we investigate the Mittag-Leffler stability of a class of fractional order Hopfield neural network with Caputo derivative.By using the Mittag-Leffler function,we get some sufficient conditions to guarantee the existence and uniqueness of the equilibrium point and its Mittag-Leffler stability for the fractional order Hopfield neural networks.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 Mittag-Leffler function Mittag-Leffler stability |
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