Matrix-Weighted Graphs

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® and Simulink® simulations to assist the reader in understanding and further developing such features are available for download.

• Erscheinungsdatum: 21.02.2026
• Autor/Autorin: Minh Hoang Trinh,Hyo-Sung Ahn
• Reihe: Engineering (R0)
• Format: E-Book
• Dateiformat: PDF
• Kopierschutz: Wasserzeichen
• Dateigröße: 12.1 MB
• Verlag: SPRINGER
• Sprache: Englisch
• Umfang: 361 Seiten
• ISBN: 9783032030795
• Lieferung: Sofort per Download
• Hinweis: Sofort per Download lieferbar. Kein physischer Versand.
• Kompatibilität: Lesbar auf Geräten und Apps mit PDF-Unterstützung.