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Minimum energy control for networks of coupled harmonic oscillators
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
2017 (English)In: IFAC PAPERSONLINE, ELSEVIER SCIENCE BV , 2017, Vol. 50, no 1, p. 8321-8326Conference paper, Published paper (Refereed)
Abstract [en]

The aim of this paper is to investigate the problem of selecting driver nodes enabling the control of a network with minimal control energy. The networks we are interested in are coupled harmonic oscillators, i.e., networks in which the eigenvalues are all purely imaginary. For them, several criteria for driver node selection are presented, based on the different measures of control energy considered in this context. The constructive algorithms we develop for these criteria are normally solving the problem in a heuristic way, although in one case the exact solution can be computed efficiently regardless of size. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV , 2017. Vol. 50, no 1, p. 8321-8326
Series
IFAC PAPERSONLINE, E-ISSN 2405-8963
Keywords [en]
Complex networks; Harmonic Oscillators; Controllability; Gramian; Minimum energy control
National Category
Communication Systems
Identifiers
URN: urn:nbn:se:liu:diva-145850DOI: 10.1016/j.ifacol.2017.08.1552ISI: 000423964900377OAI: oai:DiVA.org:liu-145850DiVA, id: diva2:1192133
Conference
20th World Congress of the International-Federation-of-Automatic-Control (IFAC)
Note

Funding Agencies|Swedish Research Council [2015-04390]

Available from: 2018-03-21 Created: 2018-03-21 Last updated: 2019-07-05

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Lindmark, GustavAltafini, Claudio
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CiteExportLink to record
Permanent link

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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