文章摘要
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].,2019,(2):257-260
分数阶 Cohen-Grossberg神经网络的 Mittag-Leffler稳定性
Mittag-Leffler Stability of Fractional Order Cohen-Grossberg Neural Networks
  
DOI:10.7682/j.issn.1673-1522.2019.02.014
中文关键词: 分数阶  CG神经网络  Mittag-Leffler稳定
英文关键词: fractional order  CG neural networks  Mittag-Leffler stability
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作者单位
刘孝磊 海军航空大学,山东烟台 264001 
顾丽娟 海军航空大学,山东烟台 264001 
刘晓燕 海军航空大学,山东烟台 264001 
郭立娜 南山学院,山东烟台 265706 
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中文摘要:
      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。
英文摘要:
      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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