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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.
Produkteigenschaften
- Artikelnummer: 9783032030788
- Medium: Buch
- ISBN: 978-3-032-03078-8
- Verlag: Palgrave Macmillan
- Erscheinungstermin: 22.02.2026
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2026
- Serie: Lecture Notes in Control and Information Sciences
- Produktform: Gebunden, HC runder Rücken kaschiert
- Gewicht: 744 g
- Seiten: 361
- Format (B x H x T): 160 x 241 x 27 mm
- Ausgabetyp: Kein, Unbekannt
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