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Document type:
Report / Forschungsbericht 
Author(s):
Salimbahrami, B. 
Title:
A Sequential Reduction Scheme in Reduced Order Modelling of Large Scale Systems 
Abstract:
An approximate solution for Lyapunov equations is constructed using Krylov subspaces for the purpose of order reduction. It is proved that order reduction by low rank gramians calculated in this way and used for balancing and truncation is equivalent to applying moment matching by Krylov subspace methods to the original large scale system. It is also shown that some of the Hankel singular values of the large scale system are approximated by the Hankel singular values of the reduced model. A two...    »
 
Keywords:
Model Order Reduction; Balancing and Truncation; Lyapunov Equations; Krylov Subspaces 
Dewey Decimal Classification:
620 
Contracting organization:
Lehrstuhl für Regelungstechnik 
Year:
2010 
Year / month:
2010-02 
Monat:
Feb 
Pages:
16 
Bookseries title:
TRAC-5 
Bookseries volume:
Language:
en 
Semester:
SS 02 
TUM Institution:
Lehrstuhl für Regelungstechnik 
Format:
Text