多值逻辑网络的输出跟踪牵制控制设计及应用
发布时间：2018-07-27 18:12
【摘要】：多值逻辑网络广泛地存在于基因调控,多值逻辑电路设计,网络演化博弈,模糊控制,图着色以及有限自动机等研究领域.由于多值逻辑网络模型结构简单,可用于较大型系统的建模,对于该模型的研究引起了国内外很多学者的浓厚兴趣.作为多值逻辑网络系统理论体系中一个非常重要的课题,多值逻辑网络的控制不仅具有重要的理论意义,而且对于基因调控,电路设计以及博弈演化等实际问题具有关键的指导意义.本文主要利用矩阵半张量积方法,研究了多值逻辑控制网络的输出跟踪牵制控制问题.主要包括以下六章:第一章主要介绍了多值逻辑控制网络的输出跟踪牵制控制问题的研究现状.第二章给出了一些本文中的常用符号及预备知识.第三章给出了带牵制控制的多值逻辑控制网络的代数表示及问题描述.第四章建立了有无状态约束条件的多值逻辑控制网络输出跟踪牵制控制器的设计方法.第五章建立了多值逻辑控制网络的鲁棒输出跟踪牵制控制器的设计方法.第六章将所得的理论结果应用于网络演化博弈的演化行为分析.
[Abstract]:Multi-valued logic networks are widely used in the fields of gene regulation, multi-valued logic circuit design, network evolutionary game, fuzzy control, graph coloring and finite automata. Because of the simple structure of the multivalued logical network model, it can be used in the modeling of large scale systems, and the research on the model has aroused great interest of many scholars at home and abroad. As a very important subject in the theoretical system of multivalued logic network system, the control of multivalued logic network is not only of great theoretical significance, but also of gene regulation. Circuit design, game evolution and other practical problems have a key guiding significance. In this paper, the output tracking control problem of multivalued logic control network is studied by using matrix semi-tensor product method. There are six chapters as follows: the first chapter mainly introduces the research status of output tracking control in multivalued logic control networks. The second chapter gives some commonly used symbols and preparatory knowledge in this paper. In chapter 3, the algebraic representation and problem description of multivalued logical control network with containment control are given. In chapter 4, the design method of output tracking control controller for multivalued logic control networks with stateful constraints is established. In chapter 5, the design method of robust output tracking controller for multivalued logic control network is established. In chapter 6, the theoretical results are applied to the evolutionary behavior analysis of network evolutionary game.
【学位授予单位】：山东师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O157.5;O231
本文编号：2148724
[Abstract]:Multi-valued logic networks are widely used in the fields of gene regulation, multi-valued logic circuit design, network evolutionary game, fuzzy control, graph coloring and finite automata. Because of the simple structure of the multivalued logical network model, it can be used in the modeling of large scale systems, and the research on the model has aroused great interest of many scholars at home and abroad. As a very important subject in the theoretical system of multivalued logic network system, the control of multivalued logic network is not only of great theoretical significance, but also of gene regulation. Circuit design, game evolution and other practical problems have a key guiding significance. In this paper, the output tracking control problem of multivalued logic control network is studied by using matrix semi-tensor product method. There are six chapters as follows: the first chapter mainly introduces the research status of output tracking control in multivalued logic control networks. The second chapter gives some commonly used symbols and preparatory knowledge in this paper. In chapter 3, the algebraic representation and problem description of multivalued logical control network with containment control are given. In chapter 4, the design method of output tracking control controller for multivalued logic control networks with stateful constraints is established. In chapter 5, the design method of robust output tracking controller for multivalued logic control network is established. In chapter 6, the theoretical results are applied to the evolutionary behavior analysis of network evolutionary game.
【学位授予单位】：山东师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O157.5;O231
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