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An infinitesimal characterization of nonlinear contracting interference functions
Department of Information Engineering, University of Padova, Italy.
Department of Information Engineering, University of Padova, Italy.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering. (Automatic Control)ORCID iD: 0000-0003-4142-6502
2016 (English)In: 2016 IEEE 55th Conference on Decision and Control (CDC), IEEE Press, 2016, p. 5257-5262Conference paper, Published paper (Refereed)
Abstract [en]

Contractive interference functions are a subclass of the standard interference functions used in the design and analysis of distributed power control algorithms for wireless networks. Their peculiarity is that for the resulting positive system the existence and global asymptotic stability of a unique positive equilibrium point is guaranteed. In this paper we give an infinitesimal characterization of nonlinear contractiveinterference functions in terms of the spectral radius of the Jacobian linearization at any point in the positive orthant. The condition we obtain, that the spectral radius is always less than 1, extends to the nonlinear case an equivalent property of linear interference functions, and leads to a Jacobian characterization similar to the one commonly used in contraction analysis of nonlinear systems.

Place, publisher, year, edition, pages
IEEE Press, 2016. p. 5257-5262
Series
IEEE Conference on Decision and Control, ISSN 0743-1546
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-135543DOI: 10.1109/CDC.2016.7799074ISI: 000400048105073ISBN: 9781509018376 (electronic)ISBN: 9781509018444 (electronic)ISBN: 9781509018383 (electronic)OAI: oai:DiVA.org:liu-135543DiVA, id: diva2:1082503
Conference
IEEE 55th Conference on Decision and Control (CDC), 12-14 December, Las Vegas, USA
Note

Funding agencies: Swedish Research Council [2015-04390]

Available from: 2017-03-16 Created: 2017-03-16 Last updated: 2017-06-13Bibliographically approved

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