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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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Metadaten
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
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