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The First Five Years of a Phase Theory for Complex Systems and Networks
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).
Science & the State Key Laboratory for Turbulence and Complex Systems Peking University, Department of Mechanics and Engineering, Beijing, China, 100871.
Hong Kong University of Science and Technology, Hong Kong, China; Southern University of Science and Technology, Shenzhen, China, 518055.
2024 (English)In: IEEE/CAA Journal of Automatica Sinica, ISSN 2329-9266, Vol. 11, no 8, p. 1728-1743Article in journal (Refereed) Published
Abstract [en]

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..

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) , 2024. Vol. 11, no 8, p. 1728-1743
Keywords [en]
Consensus and synchronization, matrix phases, multi-agent systems, phase theory, sectored real lemma, small phase theorem
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-351733DOI: 10.1109/JAS.2024.124542ISI: 001273931000010Scopus ID: 2-s2.0-85199497893OAI: oai:DiVA.org:kth-351733DiVA, id: diva2:1888700
Note

QC 20240820

Available from: 2024-08-13 Created: 2024-08-13 Last updated: 2024-08-20Bibliographically approved

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Wang, Dan

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