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Connections between L2-Model Reduction andBalanced Truncation
Vienna University of Technology, Austria.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2003 (English)Report (Other academic)
Abstract [en]

In this paper we investigate the connection between model reduction by balanced truncation and by L2 reduction. We show that locally, i.e., close to the set of lower order systems, balanced truncation and (un-weighted) L2 model reduction produce models that are almost identical. This implies that high order estimated models can be reduced by either L2 reduction or balanced truncation, both methods giving a low order model with the same asymptotic varaiance, if the true data generating model is in the class of low order models.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2003. , 13 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2521
Keyword [en]
Model reduction, Balanced truncation, L2 reduction, System identification
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55808ISRN: LiTH-ISY-R-2521OAI: oai:DiVA.org:liu-55808DiVA: diva2:316524
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-10-03Bibliographically approved

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Automatic ControlThe Institute of Technology
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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf