Clustering-based model order reduction for multi-agent systems with general linear time-invariant agents / Petar Mlinarić, Sara Grundel, Peter Benner
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870652990
URN
urn:nbn:de:gbv:3:2-64518
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Autorin / Autor
Beiträger
Erschienen
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, January 22, 2016
Umfang
1 Online-Ressource (11 Seiten = 0,29 MB) : Diagramm
Ausgabevermerk
Sprache
eng
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Inhaltliche Zusammenfassung
Abstract: In this paper, we extend our clustering-based model order reduction method for multi-agent systems with single-integrator agents to the case where the agents have identical general linear time-invariant dynamics. The method consists of the Iterative Rational Krylov Algorithm, for finding a good reduced order model, and the QR decomposition-based clustering algorithm, to achieve structure preservation by clustering agents. Compared to the case of single-integrator agents, we modified the QR decomposition with column pivoting inside the clustering algorithm to take into account the block-column structure. We illustrate the method on small and large-scale examples.
Schriftenreihe
Max Planck Institute Magdeburg Preprints ; 16-02 ppn:870173030