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Balanced truncation of linear time-invariant systems at a single frequency / Xin Du, Peter Benner, Guanghong Yang, Dan Ye
VerfasserDu, Xin ; Benner, Peter ; Yang, Guanghong ; Ye, Dan
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, January 12, 2013
Umfang1 Online-Ressource (23 Seiten = 1,21 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 13-02
URNurn:nbn:de:gbv:3:2-64153 
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Balanced truncation of linear time-invariant systems at a single frequency [1.21 mb]
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Abstract: This work considers the model reduction of linear time-invariant systems with focus on good approximation at a particular frequency. A family of frequency-dependent extended systems preserving some special frequency-dependent properties is constructed first then the corresponding controllability and observability Lyapunov equations are defined. Finally those results are used to develop the desired frequency-dependent balanced truncation which generates the desired reduced-order model with an explicit frequency-dependent approximation error bound. Both continuous-time and discrete-time systems are considered. Several benchmark examples are tested to illustrate the advantage of the proposed frequency-dependent balanced truncation method.