Balanced truncation model reduction of second-order systems
Please always quote using this URN:urn:nbn:de:0296-matheon-3798
- In this paper we consider structure-preserving model reduction of second-order systems using a~ba\-lan\-ced truncation approach. Several sets of singular values are introduced for such systems, which lead to different concepts of balancing and different second-order balanced truncation methods. We compare the properties of these methods on numerical examples.
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| Author: | Tatjana Stykel, Timo Reis |
|---|---|
| URN: | urn:nbn:de:0296-matheon-3798 |
| Referee: | Volker Mehrmann |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2007/03/25 |
| Release Date: | 2007/03/20 |
| Tag: | |
| Institute: | Technische Universität Berlin |
| MSC-Classification: | 15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A18 Eigenvalues, singular values, and eigenvectors |
| 15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A24 Matrix equations and identities | |
| 93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Dxx Stability / 93D20 Asymptotic stability | |
| Preprint Number: | 376 |
