株式会社極東書店トップ ＞ 商品一覧 ＞ Matrix-Weighted Graphs: Theory and Applications.
商品詳細
Matrix-Weighted Graphs: Theory and Applications.
・ISBN 978-3-032-03078-8 hard EUR 169.99
￥45,437.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Trinh, Minh Hoang / Ahn, Hyo-Sung, |
|---|---|
| シリーズ | (Lecture Notes in Control and Information Sciences) |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2026 |
| ページ数 | 361 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A04-82658＞ |
解説
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.