- AutorIn
- Norman Lang
- Jens Saak
- Tatjana Stykel
- Titel
- Balanced truncation model reduction for linear time-varying systems
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-qucosa-183870
- Schriftenreihe
- Chemnitz Scientific Computing Preprints
- Bandnummer
- 15-05
- Erstveröffentlichung
- 2015
- ISSN
- 1864-0087
- Abstract (EN)
- A practical procedure based on implicit time integration methods applied to the differential Lyapunov equations arising in the square root balanced truncation method is presented. The application of high order time integrators results in indefinite right-hand sides of the algebraic Lyapunov equations that have to be solved within every time step. Therefore, classical methods exploiting the inherent low-rank structure often observed for practical applications end up in complex data and arithmetic. Avoiding the additional effort treating complex quantities, a symmetric indefinite factorization of both the right-hand side and the solution of the differential Lyapunov equations is applied.
- Andere Ausgabe
- Chemnitz Scientific Computing Preprints
Link: https://www.tu-chemnitz.de/mathematik/csc/preprints.php - Freie Schlagwörter (DE)
- Modellreduktion, Niedrigrang
- Freie Schlagwörter (EN)
- balanced truncation, model reduction, time-varying systems, differential Lyapunov equations, Gramians, Hankel singular values
- Klassifikation (DDC)
- 518
- Normschlagwörter (GND)
- Ordnungsreduktion, Ljapunov-Gleichung
- Herausgeber (Institution)
- MPI für Dynamik komplexer technischer Systeme
- Universität Magdeburg
- Publizierende Institution
- Technische Universität Chemnitz
- URN Qucosa
- urn:nbn:de:bsz:ch1-qucosa-183870
- Veröffentlichungsdatum Qucosa
- 05.11.2015
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch
- Inhaltsverzeichnis
1 Introduction 2 Balanced truncation for LTV systems 3 Solving differential Lyapunov equations 4 Solving the reduced-order system 5 Numerical experiments 6 Conclusion