發(fā)布時(shí)間：2018-04-23 13:16

  本文選題：無(wú)窮分布時(shí)滯 + 拉普拉斯變換　； 參考：《安徽大學(xué)》2017年碩士論文

【摘要】：隨著對(duì)泛函微分方程的不斷認(rèn)識(shí),人們發(fā)現(xiàn)許多實(shí)際系統(tǒng)中存在著大量的時(shí)滯現(xiàn)象,有時(shí)僅僅是很小的時(shí)滯多會(huì)對(duì)系統(tǒng)造成很大影響.結(jié)合實(shí)際系統(tǒng)有一些復(fù)雜的系統(tǒng)如無(wú)窮分布時(shí)滯型微分系統(tǒng),有限維時(shí)滯系統(tǒng)的一些結(jié)論對(duì)其不太適應(yīng).此外,可控性和穩(wěn)定性是控制理論中重要的問(wèn)題.因此,研究無(wú)窮分布時(shí)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(wú)窮分布時(shí)滯型微分系統(tǒng)(?)和無(wú)窮分布時(shí)滯型退化系統(tǒng)(?)的控制性,穩(wěn)定性.本文共由四個(gè)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(wú)窮分布時(shí)滯型微分系統(tǒng)和無(wú)窮分布時(shí)滯退化系統(tǒng)的通解.第三章給出無(wú)窮分布時(shí)滯型微分系統(tǒng)和無(wú)窮分布時(shí)滯退化系統(tǒng)的可控性.第四章,討論了無(wú)窮分布時(shí)滯型退化系統(tǒng)的穩(wěn)定性問(wèn)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(xué)位授予單位】：安徽大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：O175

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本文編號(hào)：1792128