Coordination in multiagent systems and Laplacian spectra of digraphs
Pavel Chebotarev, Rafig Agaev
TL;DR
This paper explores how the Laplacian spectra and forest structures of directed graphs influence the design and analysis of distributed multiagent control systems, linking spectral graph theory with control applications.
Contribution
It provides new insights into the spectral properties of directed graphs and their application to decentralized control, extending previous partial results.
Findings
Analysis of Laplacian spectra of digraphs
Application to decentralized control systems
Discussion of spectral graph theory problems
Abstract
Constructing and studying distributed control systems requires the analysis of the Laplacian spectra and the forest structure of directed graphs. In this paper, we present some basic results of this analysis partially obtained by the present authors. We also discuss the application of these results to decentralized control and touch upon some problems of spectral graph theory.
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