Controllability of Multi-Relational Networks With Heterogeneous Dynamical NodesOACSTPCDEI
Controllability of Multi-Relational Networks With Heterogeneous Dynamical Nodes
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-rela-tional.Our aim is to find controllability criteria for heteroge-neous 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 heteroge-neous dynamical nodes.For two typical multi-relational net-works with star-chain topology and star-circle topology,some easily verified conditions are presented.For illustration and veri-fication,several examples are presented.These findings provide practical insights for the analysis and control of multi-relational complex systems.
Lifu Wang;Zhaofei Li;Lianqian Cao;Ge Guo;Zhi Kong
School of Control Engineering,Northeastern University at Qinhuangdao,Qinhuangdao 066004,ChinaSchool of Intelligence and Electronic Engineering,Dalian Neusoft University of Information,Dalian 116023,China
Heterogeneous networkmulti-relational networknetwork controllabilitynode dynamics
《自动化学报（英文版）》 2024 (012)
2476-2486 / 11
This work was supported by the National Natural Science Foundation of China(61573077,U1808205),China Scholarship Council(202308130119),and Natural Science Foundation of Hebei Province(F2022501005).
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