分数阶时滞神经网络的同步控制

发布时间：2018-01-17 16:11

本文关键词：分数阶时滞神经网络的同步控制　出处：《湖北师范大学》2017年硕士论文　论文类型：学位论文

【摘要】：本文主要研究了一类时滞型分数阶神经网络(FDNNs)的全局O(t~(-α))同步问题.基于Lyapunov方法和Leibniz法则,得到四种控制器下关于一类时滞型分数阶神经网络的全局O(t~(-α))同步的相关定理.并通过Matlab进行数值仿真,得到同步图像与理论结果进行比较,以此来检验结论的可行性.全文分四章:第一章为绪论,主要介绍分数阶神经网络动力学行为研究的背景、意义及研究现状,并对本文所做主要工作及其创新点给出说明.第二章为预备知识,主要对分数阶微分和分数阶积分做出介绍,以及给出一些必要的引理.第三章通过设计四种控制器(分别是无记忆状态反馈控制器,有时滞状态反馈控制器,无时滞输出反馈控制器,有记忆输出反馈控制器)研究了一类时滞神经网络的同步控制问题,并相应得到了四个定理.第四章是对文章的总结和展望,给出了继本文后进一步可做的工作.
[Abstract]:In this paper, we mainly study the problem of global OFNNs synchronization for a class of delayed fractional order neural networks (FDNNs), based on the Lyapunov method and the Leibniz rule. In this paper, we obtain the correlation theorems for the global OOT- 伪 synchronization of a class of delayed fractional neural networks under four kinds of controllers, and carry out the numerical simulation by Matlab. The paper is divided into four chapters: the first chapter is the introduction, which mainly introduces the background of the dynamic behavior of fractional neural networks. The significance and research status, and the main work done in this paper and its innovation points are explained. The second chapter is the preparatory knowledge, mainly introduces the fractional differential and fractional integral. In chapter 3, we design four kinds of controllers (memoryless state feedback controller, time-delay state feedback controller, delay-free output feedback controller). The synchronization control problem of a class of delayed neural networks is studied, and four theorems are obtained accordingly. Chapter 4th is the summary and prospect of this paper. The further work that can be done after this paper is given.
【学位授予单位】：湖北师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175;O231

【参考文献】