含有等容胞腔的多智能体系统的能控性  

Controllability of Multi-agent Systems with Cells of Equal Capacity

作　　者：刘萌萌 纪志坚[1,2] 刘允刚[3] 林崇[1] LIU Mengmeng;JI Zhijian;LIU Yungang;LIN Chong(School of Automation,Qingdao University,Qingdao 266071,China)

机构地区：[1]青岛大学自动化学院,山东青岛266071 [2]青岛大学系统科学研究院,山东青岛266071 [3]山东大学控制科学与工程学院,济南250061

出　　处：《复杂系统与复杂性科学》2025年第1期97-103,112,共8页Complex Systems and Complexity Science

基　　金：国家自然科学基金(62373205,62033007);山东省泰山学者特聘教授人才支持计划(tstp20230624,ts20190930);山东省泰山学者攀登计划。

摘　　要：为研究含有等容胞腔的多智能体系统的能控性问题,基于等容胞腔中的等势节点,区分了等势节点与自同构节点,发现等势节点是自同构节点的扩展。通过选取等势节点和非等势节点作为领导者,分析了系统的能控性,并提出了一种根据等容胞腔数量决定领导者数量的新方法。最后通过分析拉普拉斯矩阵,揭示了其秩与拓扑结构的之间的关系。研究结果表明,提出的领导者选择方式能有效提升系统的能控性。This paper aims to investigate the controllability of multi-agent systems with cells of equal capacity.Firstly,based on the equipotential nodes within cells of equal capacity,a distinction is made between equipotential nodes and automorphic nodes,revealing that equipotential nodes extend automorphic nodes.Secondly,by selecting equipotential nodes and non-equipotential nodes as leaders,the controllability of the system is analyzed,and a novel leader selection method based on the number of cells of equal capacity is proposed.Finally,by analyzing the Laplacian matrix,the relationship between its rank and the topological structure is revealed.The research results demonstrate that the proposed leader selection method can effectively enhance the controllability of the system.

关 键 词：多智能体系统 等价划分 能控性 领导者选择方法 

分 类 号：N941[自然科学总论—系统科学] TB3[一般工业技术—材料科学与工程]