具有参数不确定性的分数阶模糊神经网络准同步分析  

Quasi-Synchronization Analysis of Fractional Order Fuzzy Neural Networks with Parameter Uncertainty

作　　者：徐杨 殷周平 XU Yang;YIN Zhouping(School of Mathematics and Physcics,Anqing Normal University,246133,Anqing,Anhui,China)

机构地区：[1]安庆师范大学数理学院,安徽安庆246133

出　　处：《淮北师范大学学报（自然科学版）》2024年第4期7-12,共6页Journal of Huaibei Normal University：Natural Sciences

基　　金：安徽省高校重点科学研究项目(2023AH050478)。

摘　　要：为解决具有参数不确定性的泄露时滞和时变时滞分数阶模糊神经网络准同步问题,首先,引入分数阶模糊神经网络模型。其次,采用分数阶Caputo导数定义法、线性控制法、Henry-Gronwall积分不等式法以及H?lder不等式法进行定理推导,得到具有参数不确定性的泄露时滞和时变时滞分数阶模糊神经网络准同步的充分条件。最后,借助MATLAB工具箱,进一步验证理论结果优越性。该神经网络模型可以实现准同步。This paper aims to solve the problem of quasi-synchronization of fractional order fuzzy neural net-work with parameter uncertainty,leakage delay and time-varying delay.Firstly,the fractional fuzzy neural net-work model is introduced.Secondly,sufficient conditions for quasi-synchronization of fractional order fuzzy neural networks with uncertain parameters,leakage delay and time-varying delay are derived by using frac-tional order Caputo derivative definition,linear control method,Henry-Gronwall integral inequality and Hölder inequality.Finally,with the help of MATLAB toolbox,the superiority of the theoretical results is fur-ther verified.This neural network model can achieve quasi synchronization.

关 键 词：参数不确定性 分数阶 模糊神经网络 准同步 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]