Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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
Approximation with the output of linear control systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2007 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 329, no 2, 798-821 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we give a new proof that for controllable and observable linear systems every L-2[0, T] function can be approximated in the L-2[0, T] sense with an output function generated by an L-2[0, T] input function. We also give a new characterization of how continuous functions on [0, T] are uniformly approximated by an output generated by a continuous input function. The relative degree of the transfer function of the system determines those functions that can be approximated. We further show that if the initial data is allowed to vary then every continuous function is uniformly approximated by outputs generated by continuous functions.

Place, publisher, year, edition, pages
2007. Vol. 329, no 2, 798-821 p.
Keyword [en]
linear systems, approximation, continuous functions, smoothing splines
Identifiers
URN: urn:nbn:se:kth:diva-16430DOI: 10.1016/j.jmaa.2006.03.032ISI: 000244664700006Scopus ID: 2-s2.0-33846588040OAI: oai:DiVA.org:kth-16430DiVA: diva2:334472
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Jönsson, Ulf T.
By organisation
Optimization and Systems Theory
In the same journal
Journal of Mathematical Analysis and Applications

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 20 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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