Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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
A new approach to average consensus problems with multiple time-delays and jointly-connected topologies
Stockholm University, Faculty of Science, Department of Mathematics.
2012 (English)In: Journal of the Franklin Institute, ISSN 0016-0032, E-ISSN 1879-2693, Vol. 349, no 1, 293-304 p.Article in journal (Refereed) Published
Abstract [en]

This paper investigates average consensus problem in networks of continuous-time agents with delayed information and jointly-connected topologies. A lemma is derived by extending the Barbalat's Lemma to piecewise continuous functions, which provides a new analysis approach for switched systems. Then based on this lemma, a sufficient condition in terms of linear matrix inequalities (LMIs) is given for average consensus of the system by employing a Lyapunov approach, where the communication structures vary over time and the corresponding graphs may not be connected. Finally, simulation results are provided to demonstrate the effectiveness of our theoretical results.

Place, publisher, year, edition, pages
2012. Vol. 349, no 1, 293-304 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-76328DOI: 10.1016/j.jfranklin.2011.11.002ISI: 000299654400017OAI: oai:DiVA.org:su-76328DiVA: diva2:526851
Note
4Available from: 2012-05-15 Created: 2012-05-10 Last updated: 2017-12-07Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text
By organisation
Department of Mathematics
In the same journal
Journal of the Franklin Institute
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 98 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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