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

Dan Wang; Wei Chen; Li Qiu

doi:10.1109/JAS.2024.124542

Volume 11 Issue 8

Aug. 2024

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2024 > 11(8): 1728-1743

D. Wang, W. Chen, and L. Qiu, “The first five years of a phase theory for complex systems and networks,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 8, pp. 1728–1743, Aug. 2024. doi: 10.1109/JAS.2024.124542

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D. Wang, W. Chen, and L. Qiu, “The first five years of a phase theory for complex systems and networks,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 8, pp. 1728–1743, Aug. 2024. doi: 10.1109/JAS.2024.124542

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

doi: 10.1109/JAS.2024.124542

Dan Wang^,,
Wei Chen^{,
,},
Li Qiu^{,
,}

Funds: This work was supported in part by the National Natural Science Foundation of China (62073003, 72131001), Hong Hong Research Grants Council under GRF grants (16200619, 16201120, 16205421, 16203922), Shenzhen-Hong Kong-Macau Science and Technology Innovation Fund (SGDX20201103094600006), and Googol Technology (Shenzhen) Ltd

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Author Bio:
Dan Wang (Member, IEEE) received the B.S. degree in automation from Hangzhou Dianzi University, in 2014. She received the M.Phil. and Ph.D. degrees in electronic and computer engineering from the Hong Kong University of Science and Technology, Hong Kong SAR, China, in 2016 and 2020, respectively. She is currently a Postdoc at KTH Royal Institute of Technology, Sweden. From January 2018 to July 2018, she was a Visiting Scholar at University of Illinois at Urbana Champaign, USA. Her research interests include systems and control theory, phase theory, dynamical networks, network science, power system stability, and control of epidemics

Wei Chen (Member, IEEE) received the B.S. degree in engineering and the double B.S. degree in economics from Peking University, in 2008. He received the M.Phil. and Ph.D. degrees in electronic and computer engineering from the Hong Kong University of Science and Technology, Hong Kong, China, in 2010 and 2014, respectively. He is currently an Assistant Professor in the Department of Mechanics and Engineering Science at Peking University. Prior to joining Peking University, he worked at KTH Royal Institute of Technology, Sweden and University of California at Berkeley, USA for postdoctoral research, and the Hong Kong University of Science and Technology, Hong Kong SAR, China as a Research Assistant Professor.His research interests include linear systems and control, networked control systems, phase theory, optimal control, smart grid, and network science. He was the recipient of the best student paper award at the 2012 IEEE International Conference on Information and Automation

Li Qiu (Fellow, IEEE) received the Ph.D. degree in electrical engineering from the University of Toronto in 1990. After briefly working in the Canadian Space Agency, the Fields Institute for Research in Mathematical Sciences (Waterloo), and the Institute of Mathematics and its Applications (Minneapolis), he joined the Hong Kong University of Science and Technology, Hong Kong SAR, China in 1993 and is now a Professor in the Department of Electronic and Computer Engineering. In 2023, he took a leave to work in Southern University of Science and Technology, as a Chair Professor.Prof. Qiu’s research interests include system, control, optimization theory, and mathematics for information technology, as well as their applications in manufacturing industry and energy systems. He is also interested in control education and co-authored an undergraduate textbook “Introduction to Feedback Control” which was published by Prentice-Hall in 2009. He served as an Associate Editor of the IEEE Transactions on Automatic Control and Automatica. He was the General Chair of the 7th Asian Control Conference, which was held in Hong Kong, China in 2009. He was a Distinguished Lecturer from 2007 to 2010 and was a Member of the Board of Governors in 2012 and 2017 of the IEEE Control Systems Society. He was a Vice President of the Asian Control Association and the Founding Chairperson of the Hong Kong Automatic Control Association. He is a Fellow of IEEE and a Fellow of IFAC
Corresponding author: Wei Chen, e-mail: w.chen@pku.edu.cn; Li Qiu, e-mail: eeqiu@ust.hk
Received Date: 2024-02-29
Revised Date: 2024-04-24
Accepted Date: 2024-05-12

Available Online: 2024-06-04

Abstract

Abstract

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.
- Consensus and synchronization,
- matrix phases,
- multi-agent systems,
- phase theory,
- sectored real lemma,
- small phase theorem

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References

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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

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

doi: 10.1109/JAS.2024.124542

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