奇异耦合网络的动力学分析与控制

项目名称： 奇异耦合网络的动力学分析与控制

项目编号： No.61503196

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 自动化技术、计算机技术

项目作者： 郑聪

作者单位： 南京邮电大学

项目金额： 19万元

中文摘要： 奇异系统比常规（非奇异）系统能更好的刻画一大类实际动力系统而被广泛的应用各种物理过程，引起了各领域专家学者广泛关注。而由奇异系统耦合而成的奇异耦合网络可以看作是具有约束条件的常规复杂网络，比常规的复杂网络更具一般性和复杂性。本项目主要从动力学与控制科学的角度研究奇异耦合网络的动力学及其控制，主要研究内容包括：首先，结合奇异系统的实际背景，建立更贴合实际的奇异耦合网络模型；其次，结合状态反馈控制、脉冲控制和牵制控制等方法，设计几类简单、实际且行之有效的控制算法；再次，分析奇异耦合网络的同步性、拟同步性、聚类同步性和有限时间同步性等动力学，并且研究不同控制方法对奇异耦合网络动力学的影响。本项目的核心科学问题是“奇异耦合网络的建模、动力学分析和控制算法设计”。本项目的成果将会丰富和发展奇异系统和复杂网络的动力学研究，不仅具有重要的理论意义，同时还有广泛的应用价值。

中文关键词： 奇异系统；耦合网络；动力学；控制；复杂网络

英文摘要： Since the fact that singular systems can better describe a larger class of dynamic systems than regular ones, singular systems have been extensively studied in a variety of physical processes, which are attracting more and more attentions from many fields of scientific research. However, singular coupled networks can be considered as the regular complex networks with a set of constraints. This project mainly studies dynamics and control of singular coupled networks networked from the viewpoint of dynamics and control. We will develop our research in the following three aspects: firstly, we will construct the model of singular coupled networks based on the real background. Secondly, we will design some simple, realistic and effective controllers based on the state feedback control, impulsive control, pinning control and other controls. Thirdly, we will analyze the dynamics of singular coupled networks such as synchronization, quasi-synchronization, cluster synchronization and finite-time synchronization; moreover, we will study the impact of the different controllers on the dynamics of singular coupled networks. The key research problem of this project is “Modeling, Dynamics Analysis and Control Strategy Design of Singular Coupled Network”. The results of this project are meaningful for the enrichment and improvement of the study of singular systems and complex networks. Furthermore, our research results will have extensive applications for singular coupled networks.

英文关键词： Singular systems;Coupled networks ;Dynamics;Control;Complex networks