Matrix-Weighted Graphs

Theory and Applications

von Minh Hoang Trinh, Hyo-Sung Ahn

361 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

 

• Reihe: Lecture Notes in Control and Information Sciences
• Themen: Lexika Forschung und Information, allgemein Informationstheorie Kybernetik und Systemtheorie
• ISBN: 9783032030788
• Sprache: Englisch
• Erscheinungsdatum: 22.02.2026
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing