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 als...
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FB/Einrichtung: | FB 10: Mathematik und Informatik |
Dokumenttypen: | Artikel |
Medientypen: | Text |
Erscheinungsdatum: | 2013 |
Publikation in MIAMI: | 17.02.2014 |
Datum der letzten Änderung: | 16.06.2021 |
Angaben zur Ausgabe: | [Electronic ed.] |
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 |
Fachgebiet (DDC): | 510: Mathematik |
Lizenz: | CC BY 3.0 |
Sprache: | English |
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.de/urn:nbn:de:hbz:6-64319528070 |
Onlinezugriff: | 365909.pdf |
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.