本文關(guān)鍵詞：分?jǐn)?shù)階時(shí)滯神經(jīng)網(wǎng)絡(luò)的同步控制　出處：《湖北師范大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 分?jǐn)?shù)階神經(jīng)網(wǎng)絡(luò) 全局O(t~(-α))同步 時(shí)滯 分?jǐn)?shù)階微積分

【摘要】：本文主要研究了一類時(shí)滯型分?jǐn)?shù)階神經(jīng)網(wǎng)絡(luò)(FDNNs)的全局O(t~(-α))同步問題.基于Lyapunov方法和Leibniz法則,得到四種控制器下關(guān)于一類時(shí)滯型分?jǐn)?shù)階神經(jīng)網(wǎng)絡(luò)的全局O(t~(-α))同步的相關(guān)定理.并通過Matlab進(jìn)行數(shù)值仿真,得到同步圖像與理論結(jié)果進(jìn)行比較,以此來檢驗(yàn)結(jié)論的可行性.全文分四章:第一章為緒論,主要介紹分?jǐn)?shù)階神經(jīng)網(wǎng)絡(luò)動(dòng)力學(xué)行為研究的背景、意義及研究現(xiàn)狀,并對(duì)本文所做主要工作及其創(chuàng)新點(diǎn)給出說明.第二章為預(yù)備知識(shí),主要對(duì)分?jǐn)?shù)階微分和分?jǐn)?shù)階積分做出介紹,以及給出一些必要的引理.第三章通過設(shè)計(jì)四種控制器(分別是無記憶狀態(tài)反饋控制器,有時(shí)滯狀態(tài)反饋控制器,無時(shí)滯輸出反饋控制器,有記憶輸出反饋控制器)研究了一類時(shí)滯神經(jīng)網(wǎng)絡(luò)的同步控制問題,并相應(yīng)得到了四個(gè)定理.第四章是對(duì)文章的總結(jié)和展望,給出了繼本文后進(jìn)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- 偽 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.
【學(xué)位授予單位】：湖北師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：O175;O231

【參考文獻(xiàn)】

相關(guān)博士學(xué)位論文 前1條

1 王曉燕;分?jǐn)?shù)階控制系統(tǒng)分析及應(yīng)用研究[D];華北電力大學(xué)（北京）;2011年

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本文編號(hào)：1436971