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Combining centrality measures for control energy reduction in network controllability problems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-4049-6018
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0003-4142-6502
2019 (English)In: Proceedings of the 2019 European Control Conference (ECC), Institute of Electrical and Electronics Engineers (IEEE), 2019, p. 1518-1523Conference paper, Published paper (Refereed)
Abstract [en]

This paper investigates the problem of controlling a complex network with reduced control energy. Two centrality measures are defined, one related to the energy that a control, placed on a node, can exert on the entire network, and the other related to the energy that the network exerts on a node. We show that by combining these two centrality measures conflicting control energy requirements, like minimizing the average energy needed to steer the state in any direction and the energy needed for the worst direction, can be simultaneously taken into account. From an algebraic point of view, the node ranking that we obtain from the combination of our centrality measures is related to the non-normality of the adjacency matrix of the graph.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2019. p. 1518-1523
Keywords [en]
Control over networks, Large-scale systems, Network analysis and control
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-158607DOI: 10.23919/ECC.2019.8795867ISI: 000490488301088ISBN: 9783907144008 (electronic)ISBN: 9783907144015 (electronic)ISBN: 9781728113142 (print)OAI: oai:DiVA.org:liu-158607DiVA, id: diva2:1366898
Conference
European Control Conference (ECC) 2019, June 25-28, Naples, Italy
Available from: 2019-07-05 Created: 2019-10-31 Last updated: 2019-08-19Bibliographically approved

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Lindmark, GustavAltafini, Claudio

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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