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A note on the cross Gramian for non-symmetric systems

The cross Gramian matrix is a tool for model reduction and system identification, but it is only applicable to square control systems. For symmetric systems, the cross Gramian possesses a useful relation to the system's associated Hankel singular values. Yet, many real-life models are neither square nor symmetric. In this work, concepts from decentralized control are used to approximate a cross Gramian for non-symmetric and non-square systems. To illustrate this new non-symmetric cross Gramian, it is applied in the context of model order reduction.

Titel: A note on the cross Gramian for non-symmetric systems
Verfasser: Himpe, Christian GND
Ohlberger, Mario GND
Organisation: FB 10: Mathematik und Informatik
Dokumenttyp: Artikel
Medientyp: Text
Erscheinungsdatum: 10.08.2016
Publikation in MIAMI: 28.09.2016
Datum der letzten Änderung: 16.04.2019
Quelle: Systems Science & Control Engineering 4 (2016) 1, 199-208
Schlagwörter: Cross Gramian; controllability; observability; decentralized control; model reduction
Fachgebiete: Mathematik
Lizenz: CC BY 4.0
Sprache: Englisch
Anmerkungen: Finanziert durch den Open-Access-Publikationsfonds 2015/2016 der Westfälischen Wilhelms-Universität Münster (WWU Münster).
Format: PDF-Dokument
URN: urn:nbn:de:hbz:6-04269619001
Permalink: https://nbn-resolving.org/urn:nbn:de:hbz:6-04269619001
DOI: 10.1080/21642583.2016.1215273
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