多智能體網(wǎng)絡(luò)系統(tǒng)中圖的能控性分類
本文選題:多智能體網(wǎng)絡(luò)系統(tǒng) 切入點:能控性 出處:《青島大學(xué)》2017年碩士論文 論文類型:學(xué)位論文
【摘要】:多智能體網(wǎng)絡(luò)系統(tǒng)是新興的前沿學(xué)科,引起了海內(nèi)外眾多學(xué)者的關(guān)注。能控性更是成為了研究中一個焦點問題。而且這一問題也是探討多智能體的關(guān)鍵和基礎(chǔ)。本文研究的主要內(nèi)容有:第一,首先簡單總結(jié)了多智能體網(wǎng)絡(luò)系統(tǒng)的背景和意義,以及圖論與矩陣論中有關(guān)的知識。并且介紹了與之相關(guān)的能控性判據(jù)。第二,主要研究多智能體下圖的能控性分類,并分為兩大情況:單信號輸入下和多信號輸入下,而且每一種情況中都包括本質(zhì)可控圖,完全不可控圖以及條件可控圖。在多智能體網(wǎng)絡(luò)下,對每一種分類分別進行分析與研究,解決圖關(guān)于能控性的分類所具有的特點和性質(zhì)等問題。并對圖的能控性判據(jù)做進一步的延伸,進而更透徹地理解圖與能控性的關(guān)系。第三,對單信號輸入情況和多信號輸入情況下的多智能體網(wǎng)絡(luò)系統(tǒng)的區(qū)別進行了闡述。而且對基于Laplacian矩陣的多智能體系統(tǒng)模型進行延伸和轉(zhuǎn)換。并在賦值圖的特殊情況下,對單信號輸入和多信號輸入的區(qū)別進行分析與對比。
[Abstract]:Multi-agent network system is a new frontier subject. Controllability has become a focal point in the research. And this problem is also the key and foundation to discuss multi-agent. The main contents of this paper are as follows: first, Firstly, the background and significance of multi-agent network system and the knowledge of graph theory and matrix theory are briefly summarized. The controllability criteria are introduced. Secondly, the controllability classification of multi-intelligent bodies is studied. It is divided into two cases: single signal input and multi-signal input, and each case includes essential controllable graph, completely uncontrollable graph and conditional controllable graph. Each classification is analyzed and studied separately to solve the problem of the characteristics and properties of the classification on controllability of graphs. Furthermore, the criterion of controllability of graphs is further extended to better understand the relationship between graph and controllability. The difference between multi-agent network system with single signal input and multi-signal input is expounded, and the model of multi-agent system based on Laplacian matrix is extended and converted. The difference between single signal input and multi-signal input is analyzed and compared.
【學(xué)位授予單位】:青島大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2017
【分類號】:O157.5
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