Controllability of Multi-Relational Networks With Heterogeneous Dynamical Nodes  

作　　者：Lifu Wang Zhaofei Li Lianqian Cao Ge Guo Zhi Kong 

机构地区：[1]the School of Control Engineering,Northeastern University at Qinhuangdao,Qinhuangdao 066004,China [2]the School of Intelligence and Electronic Engineering,Dalian Neusoft University of Information,Dalian 116023,China [3]IEEE

出　　处：《IEEE/CAA Journal of Automatica Sinica》2024年第12期2476-2486,共11页自动化学报(英文版)

基　　金：supported by the National Natural Science Foundation of China(61573077,U1808205);China Scholarship Council(202308130119);Natural Science Foundation of Hebei Province(F2022501005)。

摘　　要：This paper studies the controllability of networked systems,in which the nodes are heterogeneous high-dimensional dynamical systems,and the links between nodes are multi-relational.Our aim is to find controllability criteria for heterogeneous networks with multi-relational links beyond those only applicable to networks with single-relational links.It is found a network with multi-relational links can be controllable even if each single-relational network topology is uncontrollable,and vice versa.Some sufficient and necessary conditions are derived for the controllability of multi-relational networks with heterogeneous dynamical nodes.For two typical multi-relational networks with star-chain topology and star-circle topology,some easily verified conditions are presented.For illustration and verification,several examples are presented.These findings provide practical insights for the analysis and control of multi-relational complex systems.

关 键 词：Heterogeneous network multi-relational network network controllability node dynamics 

分 类 号：O157.5[理学—数学] TP13[理学—基础数学]