A Unified Software Framework for Empirical Gramians

Himpe C, Ohlberger M

Forschungsartikel (Zeitschrift) | Peer reviewed

Zusammenfassung

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.

Details zur Publikation

Jahrgang / Bandnr. / Volume2013
Ausgabe / Heftnr. / Issue2013
Seitenbereich1-6
StatusVeröffentlicht
Veröffentlichungsjahr2013 (19.09.2013)
Sprache, in der die Publikation verfasst istEnglisch
DOI10.1155/2013/365909
StichwörterModel Redcution; Parameter Identification; Sensitivity Analysis; Balanced Truncation; Controllability Gramian; Observability Gramian; Cross Gramian; Sensitivity Gramian; Identifiability Gramian; Joint Gramian

Autor*innen der Universität Münster

Himpe, Christian
Professur für Angewandte Mathematik, insbesondere Numerik (Prof. Ohlberger)
Ohlberger, Mario
Professur für Angewandte Mathematik, insbesondere Numerik (Prof. Ohlberger)