此優(yōu)秀畢業(yè)論文共62頁27523字。格式完整，專業(yè)性強，推薦下載。
摘要
本課題的研究內(nèi)容是對大系統(tǒng)進行有向圖建模，并掌握一種適用于動態(tài)大系統(tǒng)的圖論表達方法．大系統(tǒng)理論對研究和處理復(fù)雜的社會系統(tǒng)、經(jīng)濟系統(tǒng)、生態(tài)系統(tǒng)等, 有著很獨特的作用和價值．
首先為本課題的研究做一些準備知識，學習并掌握圖論、大系統(tǒng)理論及狀態(tài)空間模型的相關(guān)知識．
其次，文章的第二部分以狀態(tài)空間描述為基礎(chǔ)，用動態(tài)方程描述所研究的動態(tài)反饋系統(tǒng)，然后確定狀態(tài)空間模型及其有向圖的映射．第三部分主要講的是大系統(tǒng)的結(jié)構(gòu)矩陣和狀態(tài)重排．對于給定的結(jié)構(gòu)矩陣，根據(jù)既定的規(guī)則可構(gòu)建出其有向圖．又由于大系統(tǒng)中的系統(tǒng)矩陣具有高度的稀疏性，對其點的排列不會影響有向圖，則可對其狀態(tài)矩陣進行適當?shù)呐帕校撐牡牡谒牟糠种饕歉鶕?jù)結(jié)構(gòu)矩陣對的性質(zhì)判定所研究的結(jié)構(gòu)矩陣對是否是結(jié)構(gòu)能控的，或是結(jié)構(gòu)能觀測的．若一類系統(tǒng)既是結(jié)構(gòu)能控的又是結(jié)構(gòu)能觀測的，則該系統(tǒng)是結(jié)構(gòu)完備的．再者對結(jié)構(gòu)特性的廣義性進行討論．每部分的最后都介紹了相關(guān)知識是國內(nèi)外研究發(fā)展情況．
最后，總結(jié)了本文的主要內(nèi)容．
關(guān)鍵詞：大系統(tǒng) 狀態(tài)空間模型 結(jié)構(gòu)矩陣
Abstract
The research project is to conduct a model of directed graph to large -scale system and to master the expression of graph theory approach for a dynamic large-scale system．Large scale system theory has a unique role and value of researching and dealinging with complex social system, economic system and ecological systems．
At first we should do some preparatory knowledge for the research project，learning and mastery the knowledge of graph theory, large-scale systems theory and the state space model．
Secondly，the second part of the article is based on the state space description and uses dynamic equation to describe dynamic feedback system，then determine the mapping of state space model and directed graph．The third part is primarily concerned with the structure of large system matrices and state rearrangement ．We can construct the directed graph of structure matrix on the established rule．Furthermore the high degree of scarcity of system matrix in large-scale systems，makes it true that the rearrangement of points does no affection on its directed graph，and then we can make a proper order of state matrix．The fourth part is mainly according to the nature of the structure matrix，we can determine whether the structure of matrix structure can be controlled, or can be observed．A system will be well-structured if its structure not only can be controlled but also can be observed．Then we make a discuss about the generalized nature of structural properties．The end of each section is presented of research development at our country and abroad．
Finally, I sum up the main content of this article．
Keywords：Large -scale system State-space model Structure Matrix
目錄
摘要
1.準備知識 1
1.1 圖論的相關(guān)知識 1
1.2 大系統(tǒng)理論的相關(guān)知識 4
1.3 狀態(tài)空間模型的相關(guān)知識 7
2.狀態(tài)空間模型 9
2.1 從狀態(tài)空間模型到有向圖的映射 9
2.2 國內(nèi)外研究情況及其發(fā)展 14
3.結(jié)構(gòu)矩陣和狀態(tài)重排 16
3.1 結(jié)構(gòu)矩陣及其有向圖 16
3.2 基于可連通特性的分解 18
3.3 狀態(tài)重排的一種算法 21
3.4 即約結(jié)構(gòu)矩陣的一些性質(zhì) 26
3.5 國內(nèi)外研究情況及其發(fā)展 29
4.結(jié)構(gòu)能控性、結(jié)構(gòu)能觀測性和結(jié)構(gòu)完備性 30
4.1 輸入可連通性和結(jié)構(gòu)能控性 30
4.2 結(jié)構(gòu)能控性判據(jù) 33
4.3 結(jié)構(gòu)能觀測性和結(jié)構(gòu)完備性 39
4.4 結(jié)構(gòu)特性的廣義性討論 42
4.5 國內(nèi)外研究情況及其發(fā)展 45
5.結(jié)束語 47
6.致謝辭 48
7.參考文獻 49
附錄一：英語原文 50
附錄二：中文譯文 56