The Empirical Cross Gramian for Parametrized Nonlinear Systems
Himpe C, Ohlberger M
Research article in edited proceedings (conference) | Peer reviewedAbstract
The cross gramian matrix can be used for model order reduction as well as system identification of linear control systems, which are frequently used in the sciences. The empirical cross gramian is solely computed from trajectories and hence extends beyond linear state-space systems to nonlinear systems. In this work the applicability of the empirical cross gramian also for parametrized systems is demonstrated and assessed using a nonlinear benchmark problem.
Details about the publication
Page range: 727-728
Title of series: IFAC-PapersOnLine
Volume of series: 48(1)
Status: Published
Release year: 2015
Language in which the publication is written: English
Conference: MATHMOD 2015 - 8th Vienna International Conference on Mathematical Modelling, Vienna
Keywords: model reduction; model order reduction; cross gramian; empirical gramians; pmor
Authors from the University of Münster
| Himpe, Christian | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) |
| Ohlberger, Mario | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) Center for Nonlinear Science Center for Multiscale Theory and Computation (CMTC) |
Promotionen, aus denen die Publikation resultiert
| Combined State and Parameter Reduction for Nonlinear Systems with an Application in Neuroscience Candidate: Himpe, Christian | Supervisors: Ohlberger, Mario Period of time: until 20/06/2016 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster |