Controllability of heterogeneous networked sampled-data systems  

作　　者：Zixuan YANG Lin WANG Xiaofan WANG Guanrong CHEN 

机构地区：[1]Department of Automation,Shanghai Jiao Tong University,Shanghai 200240,China [2]Key Laboratory of System Control and Information Processing,Ministry of Education of China,Shanghai 200240,China [3]School of Mechatronic Engineering and Automation,Shanghai University,Shanghai 200444,China [4]School of Electrical and Electronic Engineering,Shanghai Institute of Technology,Shanghai 201418,China [5]Department of Electrical Engineering,City University of Hong Kong,Hong Kong 999077,China

出　　处：《Science China(Information Sciences)》2025年第3期298-314,共17页中国科学(信息科学)(英文版)

基　　金：supported in part by National Natural Science Foundation of China(Grant Nos.62373245,62336005);Joint Funds of the National Natural Science Foundation of China(Grant No.U21A20480);National Key R&D Program of China(Grant No.2023YFB4706800);Project of Science and Technology Commission of Shanghai Municipality,China(Grant No.22JC1401401);“Dawn”Program of Shanghai Education Commission,China(Grant No.21SG14)。

摘　　要：This study investigates the controllability of a general heterogeneous networked sampled-data system(HNSS)consisting of nonidentical node systems,where the inner coupling between any pair of nodes can be described by a unique matrix.The signals on control and transmission channels are sampled and held by zero-order holders,and the control sampling period of each node can be different.Necessary and sufficient controllability conditions are developed for the general HNSS,using the Smith normal form and matrix equations,respectively.The HNSS in specific topology or dynamic settings is discussed subsequently with easier-to-verify conditions derived.These heterogeneous factors have been determined to independently or jointly affect the controllability of networked sampled-data systems.Notably,heterogeneous sampling periods have the potential to enhance the overall controllability,but not for systems with some special dynamics.When the node dynamics are heterogeneous,the overall system can be controllable even if it is topologically uncontrollable.In addition,in several typical heterogeneous sampled-data multi-agent systems,pathological sampling of single-node systems will necessarily cause overall uncontrollability.

关 键 词：network controllability sampled-data system heterogeneous system inner coupling multi-agent system 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]