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Varga, Andras (2004) Computation of least order solutions of linear rational equations. Proc. of Mathematical Theory of Networks and Systems, MTNS 2004, 2004-07-05 - 2004-07-09, Leuven (Belgium).
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Abstract
We propose a numerically reliable approach for computing solutions of least McMillan order of linear equations with rational matrix coefficients. The main computational ingredients are the orthogonal reduction of the associated system matrix pencil to a certain Kronecker-like staircase form and the solution of a minimal dynamic cover design problem. For these computations we discuss numerically reliable algorithms relying on matrix pencil and descriptor system techniques.
| Item URL in elib: | https://elib.dlr.de/12060/ | ||||||
|---|---|---|---|---|---|---|---|
| Document Type: | Conference or Workshop Item (Paper) | ||||||
| Additional Information: | LIDO-Berichtsjahr=2004, | ||||||
| Title: | Computation of least order solutions of linear rational equations | ||||||
| Authors: |
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| Date: | July 2004 | ||||||
| Open Access: | Yes | ||||||
| Gold Open Access: | No | ||||||
| In SCOPUS: | No | ||||||
| In ISI Web of Science: | No | ||||||
| Status: | Published | ||||||
| Keywords: | Minimum degree design, rational matrix equations, descriptor systems, numerical methods | ||||||
| Event Title: | Proc. of Mathematical Theory of Networks and Systems, MTNS 2004 | ||||||
| Event Location: | Leuven (Belgium) | ||||||
| Event Type: | international Conference | ||||||
| Event Dates: | 2004-07-05 - 2004-07-09 | ||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||
| HGF - Program: | other | ||||||
| HGF - Program Themes: | other | ||||||
| DLR - Research area: | Aeronautics | ||||||
| DLR - Program: | L - no assignment | ||||||
| DLR - Research theme (Project): | L - no assignment (old) | ||||||
| Location: | Oberpfaffenhofen | ||||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering) | ||||||
| Deposited By: | DLR-Beauftragter, elib | ||||||
| Deposited On: | 21 Feb 2006 | ||||||
| Last Modified: | 31 Jul 2019 19:15 |
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