吉首大学学报（自然科学版）Issue(5)：21-26,6.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
Mittag-Leffler Stability of a Class of Fractional Order Hopfield Neural Networks
刘孝磊 1马翠玲 1郝树艳1
作者信息
- 1. 海军航空工程学院基础部数学教研室，山东 烟台 264001
- 折叠
摘要
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 con-ditions 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 il-lustrate the correctness and effectiveness of our results.关键词
分数阶神经网络/Mittag-Leffler 函数/Mittag-Leffler 稳定性Key words
fractional order neural networks/Mittag-Leffler function/Mittag-Leffler stability分类
数理科学引用本文复制引用
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,(5):21-26,6.
