本文選題：多個體系統　切入點：條件數　出處：《青島大學》2017年碩士論文

【摘要】：多個體系統的可控性是多個體系統研究中的一個基本而又重要的概念。本文的主要研究內容包括:本文概述了多個體系統可控性研究的背景和意義以及國內外發(fā)展的現狀。針對多個體系統的可控性問題,把用于解決問題的圖論、矩陣理論和線性系統理論的相關知識進行了總結。在多個體系統的一致性協議下,對系統的Laplacian矩陣進行分塊,基于系統可控性判別矩陣的條件數,提出一個定量參數。該參數可以影響多個體系統可控性,然后基于該參數的值對多個體系統可控性進行分析。多個體系統的可控性與該參數的值相關,該參數的值不僅可以用來判別系統是否可控,還可以用來衡量一個多個體系統可控性的程度。最后通過實例進行說明。對多個體系統模型,復雜網絡系統模型和關聯網絡系統模型進行了綜述。并在相同的系統拓撲結構圖(有向路圖和有向樹圖)下,對這幾種系統模型的可控性進行了研究,從而歸納出其可控性的共性。
[Abstract]:The controllability of multi-individual systems is a basic and important concept in the study of multi-individual systems.The main contents of this paper are as follows: this paper summarizes the background and significance of the research on the controllability of multi-individual systems and the current situation of its development at home and abroad.Aiming at the controllability problems of multi-individual systems, the relevant knowledge of graph theory, matrix theory and linear system theory for solving problems are summarized.Based on the condition number of the controllability discriminant matrix, a quantitative parameter is proposed by dividing the Laplacian matrix of the system into blocks under the consistency protocol of the multi-individual system.This parameter can affect the controllability of multi-individual system, and then analyze the controllability of multi-individual system based on the value of the parameter.The controllability of multi-individual system is related to the value of the parameter. The value of the parameter can be used not only to judge whether the system is controllable, but also to measure the degree of controllability of a multi-individual system.Finally, an example is given to illustrate the problem.The multi-individual system model, complex network system model and associated network system model are reviewed.Under the same system topology structure graph (directed path graph and directed tree graph), the controllability of these system models is studied, and the generality of their controllability is concluded.
【學位授予單位】：青島大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：O157.5;O231

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本文編號：1710395