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A Unified Software Framework for Empirical Gramians

A common approach in model reduction is balanced truncation, which is based on Gramian matrices classifying certain attributes of states or parameters of a given dynamic system. Initially restricted to linear systems, the empirical Gramians not only extended this concept to nonlinear systems but also provided a uniform computational method. This work introduces a unified software framework supplying routines for six types of empirical Gramians. The Gramian types will be discussed and applied in a model reduction framework for multiple-input multiple-output systems.

Titel: A Unified Software Framework for Empirical Gramians
Verfasser: Himpe, Christian GND
Ohlberger, Mario GND
Organisation: FB 10: Mathematik und Informatik
Dokumenttyp: Artikel
Medientyp: Text
Erscheinungsdatum: 2013
Publikation in MIAMI: 17.02.2014
Datum der letzten Änderung: 27.07.2015
Quelle: Himpe, Christian; Ohlberger, Mario: A Unified Software Framework for Empirical Gramians. Journal of Mathematics; 2013, Vol. 2013, 365909. http://dx.doi.org/doi:10.1155/2013/365909
Fachgebiete: Mathematik
Lizenz: CC BY 3.0
Sprache: Englisch
Anmerkungen: Finanziert durch den Open-Access-Publikationsfonds 2013/2014 der Deutschen Forschungsgemeinschaft (DFG) und der Westfälischen Wilhelms-Universität Münster (WWU Münster).
Format: PDF-Dokument
URN: urn:nbn:de:hbz:6-64319528070
Permalink: https://nbn-resolving.org/urn:nbn:de:hbz:6-64319528070
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