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Existence, uniqueness and stability properties of positive equilibria for a class of nonlinear cooperative systems
Univversity of Padova, Italy.
Univversity of Padova, Italy.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0003-4142-6502
2015 (English)In: Proceedings of 54th IEEE Conference on Decision and Control (CDC), Institute of Electrical and Electronics Engineers (IEEE), 2015, p. 4406-4411Conference paper, Published paper (Refereed)
Abstract [en]

We provide conditions that guarantee existence, uniqueness and stability of strictly positive equilibria for nonlinear cooperative systems associated to vector fields that are concave or subhomogeneous. This class of positive systems describes well interconnected dynamics that are of key interest for communication, biological, economical and neural network applications. These conditions can be formulated directly in terms of the spectral radius of the Jacobian of the system, and do not require to use constant inputs to move the equilibrium point from the origin to the interior of the positive orthant.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2015. p. 4406-4411
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-127607DOI: 10.1109/CDC.2015.7402907ISI: 000381554504096ISBN: 9781479978861 (electronic)ISBN: 9781479978847 (electronic)ISBN: 9781479978854 (electronic)OAI: oai:DiVA.org:liu-127607DiVA, id: diva2:925894
Conference
IEEE Conference on Decision and Control. December 15-18, 2015 at the Osaka International Convention Center, Osaka, Japan
Available from: 2016-05-03 Created: 2016-05-03 Last updated: 2018-08-24Bibliographically approved

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Altafini, 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