The First Five Years of a Phase Theory for Complex Systems and Networks  

作　　者：Dan Wang Wei Chen Li Qiu 

机构地区：[1]Division of Decision and Control Systems,KTH Royal Institute of Technology,Stockholm 10044,Sweden [2]Department of Mechanics and Engineering Science&the State Key Laboratory for Turbulence and Complex Systems,Peking University,Beijing 100871,China [3]Hong Kong University of Science and Technology,Hong Kong,China,and also with the Southern University of Science and Technology,Shenzhen 518055,China

出　　处：《IEEE/CAA Journal of Automatica Sinica》2024年第8期1728-1743,共16页自动化学报（英文版）

基　　金：supported in part by the National Natural Science Foundation of China(62073003,72131001);Hong Hong Research Grants Council under GRF grants(16200619,16201120,16205421,1620-3922);Shenzhen-Hong Kong-Macao Science and Technology Innovation Fund(SGDX20201103094600006)。

摘　　要：In this paper,we review the development of a phase theory for systems and networks in its first five years,represented by a trilogy:Matrix phases and their properties;The MIMO LTI system phase response,its physical interpretations,the small phase theorem,and the sectored real lemma;The synchronization of a multi-agent network using phase alignment.Towards the end,we also summarize a list of ongoing research on the phase theory and speculate what will happen in the next five years.

关 键 词：Consensus and synchronization matrix phases multi-agent systems phase theory sectored real lemma small phase theorem. 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]