Discrete-Time Controllability of Cartesian Product Networks

被引：1

作者：

Liu, Bo ^{[1
]}

Hu, Mengjie ^{[1
]}

Huang, Junjie ^{[2
]}

Zhang, Qiang ^{[2
]}

Chen, Yin ^{[3
]}

Su, Housheng ^{[4
]}

机构：

[1] Minzu Univ China, Sch Informat Engn, Minist Educ Key Lab Intelligent Anal & Secur Gover, Beijing 100081, Peoples R China

[2] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

[3] Univ Strathclyde, Dept Elect & Elect Engn, Glasgow City G1 1XW, Scotland

[4] Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Image Proc & Intelligent Control Key Lab Educ Mini, Autonomous Intelligent Unmanned Syst Engn Res Ctr, Wuhan, Peoples R China

来源：

IEEE TRANSACTIONS ON SIGNAL AND INFORMATION PROCESSING OVER NETWORKS | 2024年 / 10卷

基金：

中国国家自然科学基金;

关键词：

Controllability; Complex networks; Observability; Network systems; Laplace equations; Information processing; Topology; System performance; Stability analysis; Power system dynamics; Cartesian product networks; composite networks; OBSERVABILITY; SYSTEMS;

D O I：

10.1109/TSIPN.2024.3487411

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This work studies the discrete-time controllability of a composite network formed by factor networks via Cartesian products. Based on the Popov-Belevitch-Hautus test and properties of Cartesian products, we derive the algebra-theoretic necessary and sufficient conditions for the controllability of the Cartesian product network (CPN), which is devoted to carry out a comprehensive study of the intricate interplay between the node-system dynamics, network topology and the controllability of the CPN, especially the intrinsic connection between the CPN and its factors. This helps us enrich and perfect the theoretical framework of controllability of complex networks, and gives new insight into designing a valid control scheme for larger-scale composite networks.

引用

页码：868 / 880

页数：13

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