%0 Journal Article
%T 分数阶模糊时滞神经网络模型解的存在唯一性和有限时间稳定性<br>EXISTENCE, UNIQUENESS AND FINITE TIME STABILITY OF FRACTIONAL ORDER FUZZY NEURAL NETWORKS WITH DELAY
%A 作者
%A 哈金才
%A 杨洪福
%A 张启敏
%J 数学杂志
%D 2016
%X 本文介绍了一类分数阶模糊时滞神经网络模型.利用压缩映射原理,讨论了带时滞的分数阶神经网络模型解的存在性和唯一性,并根据Gronwall不等式结合分数阶微分方程的性质,证明了分数阶神经网络模型平衡点的有限时间稳定性,给出了有限时间稳定性的判断准则.最后,给出数值仿真说明了理论结果的正确性.<br>In this paper, we introduce a class of fractional-order fuzzy neutral network system. According to Gronwall inequality, contraction mapping principle and the properties of fractional diffierential equation, the existence, uniqueness and finite time stability of fractional-order fuzzy neural networks with delay are researched. Finally, the numerical simulation is studied to illustrate the theory
%K 分数阶模糊神经网络 存在性 唯一性 有限时间稳定性&lt
%K br&gt
%K fractional-order fuzzy neutral network existence uniqueness finite time stability
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20160617&flag=1