liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
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
Nonlinear Dynamics Isolated by Delaunay Triangulation Criteria
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2004 (English)In: Proceedings of the 43rd IEEE Conference on Decision and Control, 2004, 3862-3867 Vol.4 p.Conference paper, Published paper (Refereed)
Abstract [en]

Inspired by an idea by Q. Zhang, we show that Delaunay triangulation of data points sampled from a system with an additive nonlinearity gives a criterion by which a linear projection can be found that isolates the nonlinear dependence, leaving out the linear one. This isolation means the nonlinear modeling can be confined to a regressor space of lower dimensionality, which in turn means over-parameterization can be avoided. Monte Carlo simulations indicate that a particular criterion built on triangle asymmetries has a minimum that coincides with the sampled system nonlinear part. The criterion is however complex to compute and non-convex, which makes it difficult to optimize globally.

Place, publisher, year, edition, pages
2004. 3862-3867 Vol.4 p.
Keyword [en]
Identification, Delaunay triangulation, Nonlinear modeling, Monte Carlo simulation
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-74813DOI: 10.1109/CDC.2004.1429340ISBN: 0-7803-8682-5 (print)OAI: oai:DiVA.org:liu-74813DiVA: diva2:495943
Conference
43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, December, 2004
Available from: 2012-02-09 Created: 2012-02-09 Last updated: 2013-03-26

Open Access in DiVA

No full text

Other links

Publisher's full textRelated report

Authority records BETA

Lindgren, DavidLjung, Lennart

Search in DiVA

By author/editor
Lindgren, DavidLjung, Lennart
By organisation
Automatic ControlThe Institute of Technology
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 100 hits
CiteExportLink to record
Permanent link

Direct link
Cite
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