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

• Mathematics • Previous Articles     Next Articles

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

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

  1. (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.

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

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