A note on the cross Gramian for non-symmetric systems
Himpe C, Ohlberger M
Forschungsartikel (Zeitschrift) | Peer reviewedZusammenfassung
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.
Details zur Publikation
Jahrgang / Bandnr. / Volume: 4
Ausgabe / Heftnr. / Issue: 1
Seitenbereich: 199-208
Status: Veröffentlicht
Veröffentlichungsjahr: 2016 (10.08.2016)
Sprache, in der die Publikation verfasst ist: Englisch
Stichwörter: controllability; observability; cross gramian; model reduction; decentralized control
Autor*innen der Universität Münster
| Himpe, Christian | |
| Ohlberger, Mario |
Promotionen, aus denen die Publikation resultiert
| Combined State and Parameter Reduction for Nonlinear Systems with an Application in Neuroscience Promovend*in: Himpe, Christian | Betreuer*innen: Ohlberger, Mario Zeitraum: bis 20.06.2016 Promotionsverfahren erfolgt(e) an: Promotionsverfahren an der Universität Münster |