Matrix-weighted Graphs - ENG
Theory And Applications
| ISBN: | 9783032030795 |
|---|---|
| Formato: | ePub |
| Idioma: | Inglés |
| Editorial: | Springer Nature |
| Tema: | Matemáticas |
| Subtema: | Matemática Discreta |
| Año de publicación: | 2026-03-25 |
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.










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