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Coordination in multiagent systems and Laplacian spectra of digraphs

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arxiv 0902.4098 v1 pith:RN52XVBD submitted 2009-02-24 cs.MA cs.DMmath.COmath.OC

classification cs.MAcs.DMmath.COmath.OC
keywords analysiscontrollaplacianresultssomespectrasystemsapplication
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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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