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Improved second-order balanced truncation for symmetric systems / Peter Benner, Patrick Kürschner, Jens Saak
VerfasserBenner, Peter ; Kürschner, Patrick ; Saak, Jens
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, March 19, 2012
Umfang1 Online-Ressource (11 Seiten = 0,37 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 11-13
URNurn:nbn:de:gbv:3:2-63911 
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Improved second-order balanced truncation for symmetric systems [0.37 mb]
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Abstract: We investigate second order balanced truncation model order reduction for symmetric linear time invariant second order control systems. This special structure decreases the required computational effort significantly. Moreover we show how stability of the original model can be preserved for such systems. We briefly discuss the numerical solution of the occurring large-scale Lyapunov equations with a modified low-rank ADI method. The approach is tested on finite element models of mechanical structures.