本文選題：無窮分布時滯 + 拉普拉斯變換��； 參考：《安徽大學》2017年碩士論文

【摘要】：隨著對泛函微分方程的不斷認識,人們發(fā)現(xiàn)許多實際系統(tǒng)中存在著大量的時滯現(xiàn)象,有時僅僅是很小的時滯多會對系統(tǒng)造成很大影響.結(jié)合實際系統(tǒng)有一些復雜的系統(tǒng)如無窮分布時滯型微分系統(tǒng),有限維時滯系統(tǒng)的一些結(jié)論對其不太適應.此外,可控性和穩(wěn)定性是控制理論中重要的問題.因此,研究無窮分布時滯型微分系統(tǒng)的可控性和穩(wěn)定性具有重要意義.本文主要研究的是無窮分布時滯型微分系統(tǒng)(?)和無窮分布時滯型退化系統(tǒng)(?)的控制性,穩(wěn)定性.本文共由四個部分組成.第一章,敘述了本文的研究背景,給出本文所做的主要工作.第二章給出無窮分布時滯型微分系統(tǒng)和無窮分布時滯退化系統(tǒng)的通解.第三章給出無窮分布時滯型微分系統(tǒng)和無窮分布時滯退化系統(tǒng)的可控性.第四章,討論了無窮分布時滯型退化系統(tǒng)的穩(wěn)定性問題.
[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.
【學位授予單位】：安徽大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：O175

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