一类具有时滞的分数阶模糊神经网络的有限时间稳定性  

Finite-time Stability of a Class of Fractional Order Fuzzy Cellular Neural Networks with Time Delays

作　　者：王攀[1] 王祥 李雪臣[1] WANG Pan;WANG Xiang;LI Xuechen(School of Science,Xuchang University,Xuchang 461000,China)

机构地区：[1]许昌学院数理学院,河南许昌461000

出　　处：《许昌学院学报》2023年第2期1-6,共6页Journal of Xuchang University

基　　金：2022年河南省高等学校大学生创新训练计划项目(X202210480018)。

摘　　要：研究了一类具有比例时滞的分数阶模糊神经网络模型,利用一些分析技巧和Gronwall不等式,分别得到了阶数为0<ξ<1和1<ξ<2的分数阶模糊细胞神经网络的有限时间稳定性标准.通过数值模拟及实例分析验证了所得结论的可行性.In this paper,a class of fractional-order fuzzy neural networks with proportional delays is studied.By means of some analytical techniques and the Gronwall inequalities,sufficient conditions are obtained to guarantee the finite-time stability criteria for the system of order 0<ξ<1 and 1<ξ<2 respectively.The feasibility of the conclusions obtained is verified by numerical simulation and example analysis.

关 键 词：分数阶 模糊神经网络 比例时滞 有限时间稳定 

分 类 号：O193[理学—数学]