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Topological aspects of controlling large scale networks with unilateral inputs
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.
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. 8315-8320Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we study the problem of controlling complex networks with unilateral controls, i.e., controls which can assume only positive or negative values, not both. Given a network with linear dynamics represented by the adjacency matrix A, we seek to understand the minimal number of unilateral controls that renders the network controllable. This problem has structural properties that for instance allows us to establish theoretical bounds and identify key topological properties that makes a network relatively easy to control with unilateral controls as compared to unrestricted controls. We find that the structure of the left null space of A is particularly important to this end. In a computational study we find that the network topology largely determines the number of unilateral controls and that the derived lower bounds often are achieved with heuristic methods. (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. 8315-8320
Series
IFAC PAPERSONLINE, E-ISSN 2405-8963
Keyword [en]
Complex networks; Network topology; Controllability; Unilateral inputs
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-145849DOI: 10.1016/j.ifacol.2017.08.1549ISI: 000423964900376OAI: oai:DiVA.org:liu-145849DiVA, id: diva2:1192137
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: 2018-03-21

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Lindmark, GustavAltafini, Claudio
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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