A structured pseudospectral method for H∞-norm computation of large-scale descriptor systems / Peter Benner, Matthias Voigt
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A structured pseudospectral method for H∞-norm computation of large-scale descriptor systems
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870326538
URN
urn:nbn:de:gbv:3:2-64011
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Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, May 3, 2012
Content
1 Online-Ressource (18 Seiten = 0,35 MB) : Diagramme
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Language
eng
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Abstract
Abstract: In this paper we discuss the problem of computing the H∞-norms of transfer functions associated to large-scale descriptor systems. We exploit the relationship between the H∞-norm and the structured complex stability radius of the corresponding system pencil. To compute the structured stability radius we consider so-called structured pseudospectra. Namely, we have to find the pseudospectrum touching the imaginary axis. Therefore, we set up an iteration over the real part of the rightmost pseudoeigenvalue. For that we use a new fast iterative scheme which is based on certain rank-1 perturbations of the system pencil. Finally, we analyze the performance of our algorithm by using real-world examples.
Series
Max Planck Institute Magdeburg Preprints ; 12-10 ppn:870173030