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
Model reduction for a class of nonlinear delay differential equations with time-varying delays
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-5194-3306
2016 (English)In: Proceedings of the IEEE Conference on Decision and Control, IEEE conference proceedings, 2016, 6422-6428 p.Conference paper, Published paper (Refereed)
Resource type
Text
Abstract [en]

In this paper, a structure-preserving model reduction approach for a class of nonlinear delay differential equations with time-varying delays is proposed. Benefits of this approach are, firstly, the fact that the delay nature of the system is preserved after reduction, secondly, that input-output stability properties are preserved and, thirdly, that a computable error bound reflecting the accuracy of the reduction is provided. These results are also applicable to large-scale linear delay differential equations with constant delays. The effectiveness of the results is evidenced by means of an illustrative example involving the nonlinear delayed dynamics of the turning process.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2016. 6422-6428 p.
Keyword [en]
Asymptotic stability, Delay systems, Delays, Differential equations, Mathematical model, Reduced order systems, Stability analysis
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-188268DOI: 10.1109/CDC.2015.7403231ISI: 000381554506100Scopus ID: 2-s2.0-84962019784ISBN: 9781479978861 (print)OAI: oai:DiVA.org:kth-188268DiVA: diva2:937349
Conference
54th IEEE Conference on Decision and Control, CDC 2015, 15 December 2015 through 18 December 2015
Note

QC 20160615

Available from: 2016-06-15 Created: 2016-06-09 Last updated: 2016-12-20Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopushttp://cdc2015.ieeecss.org/

Search in DiVA

By author/editor
Besselink, Bart
By organisation
Automatic ControlACCESS Linnaeus Centre
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 2 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