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
Dynamics over Signed Networks
Univ Sydney, Australia; Australian Natl Univ, Australia.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0003-4142-6502
Univ Maryland, USA.
2019 (English)In: SIAM Review, ISSN 0036-1445, E-ISSN 1095-7200, Vol. 61, no 2, p. 229-257Article in journal (Refereed) Published
Abstract [en]

A signed network is a network in which each link is associated with a positive or negative sign. Models for nodes interacting over such signed networks arise from various biological, social, political, and economic systems. As modifications to the conventional DeGroot dynamics for positive links, two basic types of negative interactions along negative links, namely, the opposing rule and the repelling rule, have been proposed and studied in the literature. This paper reviews a few fundamental convergence results for such dynamics over deterministic or random signed networks under a unified algebraic-graphical method. We show that a systematic tool for studying node state evolution over signed networks can be obtained utilizing generalized Perron-Frobenius theory, graph theory, and elementary algebraic recursions.

Place, publisher, year, edition, pages
SIAM PUBLICATIONS , 2019. Vol. 61, no 2, p. 229-257
Keywords [en]
networks; consensus; clustering
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-157520DOI: 10.1137/17M1134172ISI: 000467050600001OAI: oai:DiVA.org:liu-157520DiVA, id: diva2:1328789
Note

Funding Agencies|Australian Research Council [DP190103615]; Swedish Research Council [2015-04390]

Available from: 2019-06-23 Created: 2019-06-23 Last updated: 2019-11-04

Open Access in DiVA

fulltext(565 kB)4 downloads
File information
File name FULLTEXT01.pdfFile size 565 kBChecksum SHA-512
3909e3f1ebacfa66a849a78b1ef841bb1fc3bd7e27e1b3f428094fa274257ba20e3cef19c82f945b9b0c3ecb0e92ce05e3c804eb695a9a8ee9de48f3124d0dad
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Altafini, Claudio
By organisation
Automatic ControlFaculty of Science & Engineering
In the same journal
SIAM Review
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 4 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 16 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