牵制控制框架下符号网络的群体行为研究

项目名称： 牵制控制框架下符号网络的群体行为研究

项目编号： No.61773155

项目类型： 面上项目

立项/批准年度： 2018

项目学科： 自动化技术、计算机技术

项目作者： 宋强

作者单位： 河南工业大学

项目金额： 16万元

中文摘要： 常规网络的连接权重皆为非负，而符号网络的连接权重可正可负。近几年来，符号网络群体行为的分析与控制已成为前沿热点之一。无领导者情形下符号网络的协同控制研究已取得较大进展，而有领导者情形下符号网络的研究结果相对偏少。为丰富完善符号网络协同控制的研究内容，本项目针对具有领导者的符号网络，拟采用牵制控制技术，仅对少数关键节点施加控制，深入研究符号网络的群体行为。主要研究内容包括：利用符号图理论、代数图理论和M矩阵技术，研究符号网络的牵制节点选取及牵制控制增益设计；研究牵制控制下非线性符号网络的双向一致性及具有时滞的线性符号网络的双向一致性；利用数值仿真或实验结果验证理论及算法的正确性和有效性。本项目成果可促进符号网络协同控制领域的发展，对实际网络群体行为的研究也有重要价值。

中文关键词： 牵制控制；同步；单个或多个领导者；M矩阵；符号网络

英文摘要： The link weights for conventional networks are all nonnegative, while the link weights for signed networks can be positive or negative. In recent years, the research related to the analysis and control for the collective behaviors of signed networks has become one of the frontier and focal points. Much progress has been made in the cooperative control of signed networks without the presence of the leaders. In contrast, there are few studies related to the signed networks with leaders. To enrich and improve the study on the cooperative control of signed networks, based on the pinning control approach, this project aims to deeply investigate the collective behaviors of signed networks with leaders, where the control actions are only applied to a small fraction of key nodes. The main research contents of this project include several aspects as follows. By utilizing the signed graph theory, algebraic graph theory and M-matrix techniques, we will study the selection of pinned nodes and the design of pinning feedback gains for signed networks; The bipartite consensus problems for signed networks with nonlinear node-dynamics and singed linear networks with time-delays will be investigated, respectively; Simulation or experimental results will be provided to validate the correctness and effectiveness of the proposed theories and algorithms. The research results of this project will promote the development of the cooperative control of signed networks, and may also provide some important values for the study on the collective behaviors of some real networks.

英文关键词： Pinning control;synchronization;single or multiple leaders;M-matrix;signed network