| 分数阶Cohen-Grossberg神经网络的Mittag-Leffler稳定性 |
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| 引用本文： | 刘孝磊,顾丽娟,刘晓燕,郭立娜.分数阶Cohen-Grossberg神经网络的Mittag-Leffler稳定性[J].海军航空工程学院学报,2019,34(2):257-260. |
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| 作者姓名： | 刘孝磊 顾丽娟 刘晓燕 郭立娜 |
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| 作者单位： | 海军航空大学,山东烟台,264001;南山学院,山东烟台,265706 |
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| 摘 要： | 在整数阶 Cohen-Grossberg神经网络与分数阶理论及分数阶神经网络的基础上,提出了分数阶 Cohen-Grossberg神经网络。为了研究该类型神经网络,引入 Mittag-Leffler函数并利用 Mittag-Leffler函数及分数阶导数的相关性质,进而通过构造 Lyapunov函数的方法,研究了分数阶 Cohen-Grossberg神经网络的 Mittag-Leffler稳定性,并最终给出了相应的充分性条件。最后,通过实例仿真验证了结论的正确性。
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| 关 键 词： | 分数阶 CG神经网络 Mittag-Leffler稳定 |
Mittag-Leffler Stability of Fractional Order Cohen-Grossberg Neural Networks |
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| LIU Xiaolei,GU Lijuan,LIU Xiaoyan and GUO Lina.Mittag-Leffler Stability of Fractional Order Cohen-Grossberg Neural Networks[J].Journal of Naval Aeronautical Engineering Institute,2019,34(2):257-260. |
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| Authors: | LIU Xiaolei GU Lijuan LIU Xiaoyan and GUO Lina |
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| Institution: | Naval Aviation University, Yantai Shandong 264001, China,Naval Aviation University, Yantai Shandong 264001, China,Naval Aviation University, Yantai Shandong 264001, China and Nanshan College, Yantai Shandong 265706, China |
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| Abstract: | On the basis of the integer order Cohen-Grossberg neural networks and fractional order Hopfield neural net.works, the fractional order Cohen-Grossberg neural networks were given. In order to research this type neural networks,Mittag-Leffler function was brought, and making use of the property of the Mittag-Leffler function and fractional order de.rivative, the Mittag-Leffler stability of fractional order Cohen-Grossberg neural networks was investigated by constructingLyapunov function, and a sufficient condition was gotten. At last, the correctness of the conclusion was verified by an emu.lating example. |
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| Keywords: | fractional order CG neural networks Mittag-Leffler stability |
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