无穷分布时滞型微分系统的可控性和稳定性

发布时间：2018-04-23 13:16

本文选题：无穷分布时滞 + 拉普拉斯变换　；参考：《安徽大学》2017年硕士论文

【摘要】：随着对泛函微分方程的不断认识,人们发现许多实际系统中存在着大量的时滞现象,有时仅仅是很小的时滞多会对系统造成很大影响.结合实际系统有一些复杂的系统如无穷分布时滞型微分系统,有限维时滞系统的一些结论对其不太适应.此外,可控性和稳定性是控制理论中重要的问题.因此,研究无穷分布时滞型微分系统的可控性和稳定性具有重要意义.本文主要研究的是无穷分布时滞型微分系统(?)和无穷分布时滞型退化系统(?)的控制性,稳定性.本文共由四个部分组成.第一章,叙述了本文的研究背景,给出本文所做的主要工作.第二章给出无穷分布时滞型微分系统和无穷分布时滞退化系统的通解.第三章给出无穷分布时滞型微分系统和无穷分布时滞退化系统的可控性.第四章,讨论了无穷分布时滞型退化系统的稳定性问题.
[Abstract]:With the continuous understanding of functional differential equations, it is found that there are a large number of delay phenomena in many practical systems, sometimes only a very small delay will have a great impact on the system. Some complex systems, such as infinite distributed delay differential systems, are not suitable for some conclusions of finite dimensional delay systems. In addition, controllability and stability are important problems in control theory. Therefore, it is of great significance to study the controllability and stability of infinite distributed delay differential systems. In this paper, we mainly study the infinite distributed delay differential systems. And infinitely distributed time-delay degenerate systems. Control, stability. This paper consists of four parts. In the first chapter, the background of this paper is described, and the main work done in this paper is given. In chapter 2, the general solutions of infinite distributed delay differential systems and infinite distributed delay degenerate systems are given. In chapter 3, the controllability of infinite distributed delay differential systems and infinite distributed delay degenerate systems is given. In chapter 4, the stability of degenerate systems with infinite distributed delays is discussed.
【学位授予单位】：安徽大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175

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