Balanced truncation model reduction for symmetric second order systems – A passivity-based approach
- Dorschky, Ines Universität Hamburg
- Reis, Timo Technische Universität Ilmenau
- Voigt, Matthias UniDistance Suisse
- 2021
Published in:
- SIAM Journal on Matrix Analysis and Applications. - 2021, vol. 42, no. 4, p. 1602-1635
model reduction
matrix polynomials
balanced truncation
indefinite linear algebra
open code
open data
English
We introduce a model reduction approach for linear time-invariant second order systems based on positive real balanced truncation. Our method guarantees to preserve asymptotic stability and passivity of the reduced order model as well as the positive definiteness of the mass and stiffness matrices. Moreover, we receive an a priori gap metric error bound. Finally we show that our method based on positive real balanced truncation preserves the structure of overdamped second order systems.
- Research projects
- Language
-
- English
- Classification
- Mathematics
- License
-
Rights reserved
- Open access status
- green
- Identifiers
-
- DOI 10.1137/20M1346109
- DOI 10.5281/zenodo.4519721
- ARK ark:/51647/srd1320170
- Persistent URL
- https://n2t.net/ark:/51647/srd1320170
Statistics
Document views: 113
File downloads:
- DorRV21: 1428