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Titel
A structured pseudospectral method for H∞-norm computation of large-scale descriptor systems / Peter Benner, Matthias Voigt
VerfasserBenner, Peter ; Voigt, Matthias
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, May 3, 2012
Umfang1 Online-Ressource (18 Seiten = 0,35 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 12-10
URNurn:nbn:de:gbv:3:2-64011 
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A structured pseudospectral method for H∞-norm computation of large-scale descriptor systems [0.35 mb]
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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.