emgr - The Empirical Gramian Framework

Himpe C

Forschungsartikel (Zeitschrift) | Peer reviewed

Zusammenfassung

System Gramian matrices are a well-known encoding for properties of input-output systems such as controllability, observability or minimality. These so-called system Gramians were developed in linear system theory for applications such as model order reduction of control systems. Empirical Gramians are an extension to the system Gramians for parametric and nonlinear systems as well as a data-driven method of computation. The empirical Gramian framework - emgr - implements the empirical Gramians in a uniform and configurable manner, with applications such as Gramian-based (nonlinear) model reduction, decentralized control, sensitivity analysis, parameter identification and combined state and parameter reduction.

Details zur Publikation

FachzeitschriftAlgorithms
Jahrgang / Bandnr. / Volume11
Ausgabe / Heftnr. / Issue7
StatusVeröffentlicht
Veröffentlichungsjahr2018
Sprache, in der die Publikation verfasst istEnglisch
DOI10.3390/a11070091
Stichwörtermodel reduction; model order reduction; decentralized control; sensitivity analysis; parameter identification; empirical gramians; nonlinear systems; reduced order systems; controllability; observability

Autor*innen der Universität Münster

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