一类分数阶Hopfield神经网络的Mittag-Leffler稳定性

doi:10.3969/j.cnki.jdxb.2015.05.005

journal6 ›› 2015, Vol. 36 ›› Issue (5): 21-26.DOI: 10.3969/j.cnki.jdxb.2015.05.005

一类分数阶Hopfield神经网络的Mittag-Leffler稳定性

刘孝磊，马翠玲，郝树艳

（海军航空工程学院基础部数学教研室，山东烟台 264001）

出版日期:2015-09-25 发布日期:2015-11-02

Mittag-Leffler Stability of a Class of Fractional Order Hopfield Neural Networks

LIU Xiao-Lei, MA Cui-Ling, HAO Shu-Yan

(Institute of System Science and Mathematics,Naval Aeronautical and Astronautical University,Yantai 264001,Shandong China)

Online:2015-09-25 Published:2015-11-02
About author:LIU Xiaolei(1983—），male,was born in Weifang City,Shandong Province,master of science,lecture;research area are fractional order dynamic systems and neural networks.

摘要/Abstract

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.

关键词： 分数阶神经网络, Mittag-Leffler 函数, Mittag-Leffler 稳定性

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.

Key words: fractional order neural networks, Mittag-Leffler function, Mittag-Leffler stability

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]. journal6, 2015, 36(5): 21-26.

LIU Xiao-Lei, MA Cui-Ling, HAO Shu-Yan. Mittag-Leffler Stability of a Class of Fractional Order Hopfield Neural Networks[J]. journal6, 2015, 36(5): 21-26.

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一类分数阶Hopfield神经网络的Mittag-Leffler稳定性

Mittag-Leffler Stability of a Class of Fractional Order Hopfield Neural Networks

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