Matrix-Weighted Graphs: Theory and Applications
暫譯: 矩陣加權圖：理論與應用

Trinh, Minh Hoang, Ahn, Hyo-Sung

Matrix-Weighted Graphs: Theory and Applications
  • 出版商: Springer
  • 出版日期: 2026-02-22
  • 售價: $7,940
  • 貴賓價: 9.8 折 $7,781
  • 語言: 英文
  • 頁數: 361
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3032030781
  • ISBN-13: 9783032030788
  • 相關分類: 工程數學 Engineering-mathematics

    • 海外代購書籍(需單獨結帳)

商品描述

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:

- graphs and networks with matrix weighting, showing how the matrix-weighted Laplacian forms the foundation for further theoretical developments;
- development of algorithms for various purposes from the determination of connectivity to quantitative measurement as a key pillar in network design and analysis;
- control-theoretic integration, providing a framework with the matrix-weighted consensus algorithm playing a central role and which coordinates interacting dynamical agents from each vertex in a cooperative and distributed manner; and
- applications of matrix-weighted graphs in network synchronization, social networks, networked input-output economics, network localization and formation control.

The theoretical results provide a firm foundation for researchers wishing to pursue the study of matrix-weighted networks and related topics and are accessible to graduate students with a background in engineering mathematics.

Many of the definitions, analyses, and designs in this book are accompanied by figures, examples and numerical simulations. MATLAB(R) and Simulink(R) simulations to assist the reader in understanding and further developing such features are available for download.

商品描述(中文翻譯)

本書介紹並系統化了矩陣加權圖的結果，這是一種強大的工具，用於建模和分析多維網絡系統。作者選擇了針對基本問題的主題，並將其安排為四個部分：

- 矩陣加權的圖和網絡，展示了矩陣加權拉普拉斯算子如何成為進一步理論發展的基礎；
- 為各種目的開發算法，從連通性確定到量化測量，作為網絡設計和分析中的關鍵支柱；
- 控制理論整合，提供了一個框架，其中矩陣加權共識算法扮演中心角色，協調來自每個頂點的互動動態代理，以合作和分散的方式進行；
- 矩陣加權圖在網絡同步、社交網絡、網絡輸入輸出經濟學、網絡定位和形成控制中的應用。

這些理論結果為希望深入研究矩陣加權網絡及相關主題的研究人員提供了堅實的基礎，並且對具有工程數學背景的研究生來說是可理解的。

本書中的許多定義、分析和設計都附有圖形、範例和數值模擬。為了幫助讀者理解並進一步開發這些特性，提供了 MATLAB(R) 和 Simulink(R) 模擬的下載。

作者簡介

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.

作者簡介(中文翻譯)

Minh Hoang Trinh 於2013年獲得越南河內科技大學 (Hanoi University of Science and Technology, HUST) 電機工程學士學位，於2015年獲得光州科技院 (Gwangju Institute of Science and Technology, GIST) 機電一體化碩士學位，並於2018年獲得光州科技院機械工程博士學位。2016年，他曾在以色列海法的以色列科技學院 (Technion - Israel Institute of Technology) 擔任訪問研究生。從2018年到2019年，他在光州科技院擔任博士後研究員。Trinh 博士於2019年至2023年在河內科技大學擔任講師，並於2023年至2024年在越南平定的 FPT 大學擔任講師/研究員。他的研究興趣包括多智能體系統的分散控制、圖剛性理論及矩陣加權圖。

Hyo-Sung Ahn 是光州科技院 (Gwangju Institute of Science and Technology, GIST) 機械與機器人工程系的教授。他於1998年在韓國首爾的延世大學 (Yonsei University) 獲得天文學與大氣科學學士學位，並於2006年在美國猶他州立大學 (Utah State University) 獲得電機工程博士學位。自2007年7月以來，他一直在光州科技院的機電一體化學院和機械工程學院任職。在加入光州科技院之前，他曾在韓國大田的電子與電信研究院擔任高級研究員。他的研究興趣包括編隊控制、分散控制、航空航天導航與控制、網絡定位及學習控制。

類似商品