异构多智能体网络拓扑可辨识性  

Discernibility of Heterogeneous Multi-agent Networks Topology

作　　者：王立夫 高聪 郭戈 孔芝 WANG Li-Fu;GAO Cong;GUO Ge;KONG Zhi(School of Control Engineering,Northeastern University at Qinhuangdao,Qinhuangdao 066004;State Key Laboratory of Synthetical Automation for Process Industries,Northeastern University,Shenyang 110004)

机构地区：[1]东北大学秦皇岛分校控制工程学院,秦皇岛066004 [2]东北大学流程工业综合自动化国家重点实验室,沈阳110004

出　　处：《自动化学报》2025年第3期559-569,共11页Acta Automatica Sinica

基　　金：国家自然科学基金(62173079,U1808205);国家留学基金(202308130119);河北省自然科学基金(F2022501005)资助。

摘　　要：研究了高维线性时不变动力学系统构成的具有加权有向的多智能体网络拓扑变化可辨识性.这些网络智能体动力学和内耦合矩阵均具有异构性.分析异构内耦合矩阵对网络拓扑可辨识性的影响,并发现网络拓扑结构的可辨识性与智能体之间的内耦合矩阵相关.当内耦合矩阵由同构变为异构时,网络拓扑的可辨识性可能发生变化,既可能由可辨识变为不可辨识,也可能由不可辨识变为可辨识.针对一般网络结构,提出充分和必要的条件以验证拓扑变化的可辨识性.此外,针对有向链状网络、有向星型网络以及有向环状网络等几种典型网络结构,分别给出相应的可辨识性条件.通过实际案例验证了所提条件的合理性和有效性.This paper investigates the discernibility of topology variations in weighted directed multi-agent networks composed of high-dimensional linear time invariant dynamical systems.The dynamics and inner-coupling matrix of these agent networks are both heterogeneous.We analyze the influence of heterogeneous inner-coupling matrix on the discernibility of network topology and find that the discernibility of network topology structure is related to the inner-coupling matrix between agents.When the inner-coupling matrix changes from homogeneous to heterogeneous,the discernibility of network topology may also change,from discernible to undiscernible or from undiscernible to discernible.For general network structures,this paper proposes some sufficient and necessary conditions to verify the discernibility of topology variations.Corresponding discernibility conditions are provided for several typical network structures,such as directed chain networks,directed star networks,and directed ring networks.The rationality and effectiveness of the conditions proposed in this paper are verified through practical cases.

关 键 词：可辨识性 异构网络 内耦合矩阵 拓扑变化 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]