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Book synopsis

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.

Book details

Book category Books in German Naturwissenschaften, Medizin, Informatik, Technik Mathematik Mathematik - Sonstiges

• Full title: Matrix-Weighted Graphs
• Author: Hyo-Sung Ahn
• Language: English
• Binding: Hardback
• Number of pages: 361
• EAN: 9783032030788
• ISBN: 3032030781
• ID: 49241456
• Publisher: Springer-Verlag GmbH
• Weight: 719 g
• Date of publishing: 28. October 2025

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