薛峰 毕业论文.doc

毕业(设计)论文
题目细胞神经网络稳定性研究中的Bellman引理
学生姓名薛峰专业班级 R计算091
所在院系理学院
指导教师刘立伟职称副教授
所在单位信息与计算科学教研室
教研室主任李焱淼
完成日期 2013 年 6 月 15日
摘要
目前,在细胞神经网络技术的领域,很多问题已得到一定程度的解决。但相关学科对细胞神经网络的稳定性研究要求正在不断提高,人们有必要改进己有的方法,提出更好的方法来处理已经获得一定程度解决的问题,研究细胞神经网络稳定性也需要不断地探索更多的方法,以获得更好的结果和更高的效率。
本文主要对细胞神经网络模型的平衡点的存在性及其全局指数稳定性进行了深入地研究,得出了一些新的结论。这些结论将为设计具有全局指数稳定的平衡点和周期解的神经网络提供理论依据。
本文首先研究细胞神经网络的稳定性,分别介绍了细胞神经网络研究的背景、细胞神经网络的研究方向、国内外的发展状况、Bellman引理在细胞神经网络稳定性中的应用,使我们能更好地了解细胞神经网络中的Bellman引理。
其次着重介绍了Bellman引理不等式的一些证明。最后介绍了Bellman引理在细胞神经网络模型稳定性和平衡点存在性中的应用。
关键词:全局稳定性 Bellman引理细胞神经网络
ABSTRACT
Currently, in the field of cellular work technology, many issues have been resolved to some extent . But related disciplines on the stability of cellular work research requirements is increasing , and some people have a need to improve the method has been proposed for better ways to deal with a certain degree has been obtained to solve the problem , study the stability of cellular works also need to keep explore more ways to get better results and higher efficiency.
This paper focuses on a balance of cellular work model Existence and global exponential stability of in-depth research, draw some new conclusions . These conclusions will be designed with globally exponentially stable equilibrium point and periodic solutions of works provide a theoretical basis .
Firstly, Stability of cellular works , introduced the research background of the study of cellular works , cellular works , the development of the situation at home and abroad , Bellman lemma in the stability of cellular works , so that we can more good understanding of cellular works Bellman lemma.
Secondly highlights some of the Bellman lemma to prove inequality . Finally, the Bellman lemma in cellular work model of stability and existence of the equilibrium point of application .
Key words:Global Stability Bellman lemma Cellular works
目录
第一章绪论 1
1
2
Bellman引理 7
第二章 BELLMAN引理的证明 10
-Bel