多智能体网络系统中图的能控性分类

发布时间：2018-03-13 18:16

本文选题：多智能体网络系统　切入点：能控性　出处：《青岛大学》2017年硕士论文　论文类型：学位论文

【摘要】：多智能体网络系统是新兴的前沿学科,引起了海内外众多学者的关注。能控性更是成为了研究中一个焦点问题。而且这一问题也是探讨多智能体的关键和基础。本文研究的主要内容有:第一,首先简单总结了多智能体网络系统的背景和意义,以及图论与矩阵论中有关的知识。并且介绍了与之相关的能控性判据。第二,主要研究多智能体下图的能控性分类,并分为两大情况:单信号输入下和多信号输入下,而且每一种情况中都包括本质可控图,完全不可控图以及条件可控图。在多智能体网络下,对每一种分类分别进行分析与研究,解决图关于能控性的分类所具有的特点和性质等问题。并对图的能控性判据做进一步的延伸,进而更透彻地理解图与能控性的关系。第三,对单信号输入情况和多信号输入情况下的多智能体网络系统的区别进行了阐述。而且对基于Laplacian矩阵的多智能体系统模型进行延伸和转换。并在赋值图的特殊情况下,对单信号输入和多信号输入的区别进行分析与对比。
[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.
【学位授予单位】：青岛大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O157.5

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