有限域上多智能体系统的分布式协同控制研究综述  

A survey of distributed cooperative control of multi-agent systems over finite fields

作　　者：路则欢 张志强 孙元功[1] LU Ze-huan;ZHANG Zhi-qiang;SUN Yuan-gong(School of Mathematical Sciences,University of Jinan,Jinan 250022,China)

机构地区：[1]济南大学数学科学学院,济南250022

出　　处：《控制与决策》2025年第2期367-374,共8页Control and Decision

基　　金：国家自然科学基金项目(61903154,61873110);山东省泰山学者特聘教授人才支持计划项目(ts20190938);山东省自然科学基金项目(ZR2023MF072,ZR2023MF057)。

摘　　要：研究有限域上多智能体系统的一致性与可控性,对包括传感器网络、机器人网络等在内的复杂系统的控制与应用具有广泛的应用价值.首先综述有限域上多智能体系统的一致性,从有无时滞及拓扑结构变化的角度,梳理了达到一致性的代数判据与图论判据的异同以及联系;其次论述了有限域上多智能体系统的可控性,归纳总结了影响可控性的5个要素,包括系统的模型、拓扑结构、领航者的选取、域的阶数以及可控性下标;最后总结全文并提出潜在的研究方向.The study of consensus and controllability of multi-agent systems over finite fields is valuable to the control and application of various complex systems,including sensor networks and robot networks.Firstly,this survey investigates the consensus of multi-agent systems over finite fields,and algebraic criterion and graph theory criterion for achieving consensus are compared from the perspective of time delay and topological structure change.Then,the controllability of multi-agent systems over finite fields is considered.Five factors affecting controllability are introduced,including system model,topological structure,leader selection,domain order and controllability subscript.Finally,some potential future works are suggested.

关 键 词：有限域 多智能体系统 一致性 可控性 目标可控 拓扑结构 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]