Matrix-Weighted Graphs - Ahn, Hyo-Sung

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Résumé :

Part I: Graphs and Networks with Matrix-Weights.- Matrix-Weighted Graphs.- Matrix-Weighted Laplacian.- Physical Interpretation and Motivational Examples.- Part II: Algorithms.- Connectivity.- Spanning Trees.- Quantitative Measures.- Part III: Control.- Matrix-Weighted Consensus.- Discrete-Time and Randomized Algorithms.- Accelerated Algorithms.- ...

Biographie:

Minh Hoang Trinh received the B.S. degree in electrical engineering (2013) from Hanoi University of Science and Technology (HUST), Hanoi, Vietnam, the M.S. degree in mechatronics (2015), and the Ph.D. degree in mechanical engineering (2018) both from Gwangju Institute of Science and Technology (GIST), Gwangju, South Korea. In 2016, he was a visiting research student at Technion - Israel Institute of Technology, Haifa, Israel. From 2018 to 2019, he was as a postdoc researcher at GIST. Dr. Trinh worked as a lecturer at Hanoi University of Science and Technology, Hanoi (2019-2023), and a lecturer/researcher at the FPT University, Binh Dinh, Vietnam (2023-2024). His research interests include distributed control of multi-agent systems, graph rigidity theory, and matrix-weighted graphs.

Hyo-Sung Ahn is a professor at the Department of Mechanical and Robotics Engineering, Gwangju Institute of Science and Technology (GIST), Gwangju, Korea. He received the B.S degree in astronomy & atmospheric science from Yonsei University, Seoul, Korea, in 1998, and the Ph.D. degree in electrical engineering from Utah State University, Logan, in 2006. Since July 2007, he has been with the School of Mechatronics and School of Mechanical Engineering, GIST. Before joining GIST, he was a senior researcher with the Electronics and Telecommunications Research Institute, Daejeon, Korea. His research interests include formation control, distributed control, aerospace navigation and control, network localization, and learning control....

Sommaire:

This book presents and systematizes results in matrix-weighted graphs, a powerful tool for modeling and analysis of multi-dimensional networked systems. The authors select topics addressing fundamental issues, which they arrange in four parts: