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Stability and Performance of Continuous-Time Power Control in Wireless Networks
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2014 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 59, no 8, 2012-2023 p.Article in journal (Refereed) Published
Abstract [en]

This paper develops a comprehensive stability analysis framework for general classes of continuous-time power control algorithms under heterogeneous time-varying delays. Our first set of results establish global asymptotic stability of power control laws involving two-sided scalable interference functions, and include earlier work on standard interference functions as a special case. We then consider contractive interference functions and demonstrate that the associated continuous-time power control laws always have unique fixed points which are exponentially stable, even under bounded heterogeneous time-varying delays. For this class of interference functions, we present explicit bounds on the decay rate that allow us to quantify the impact of delays on the convergence time of the algorithm. When interference functions are linear, we also prove that contractivity is necessary and sufficient for exponential stability of continuous-time power control algorithms with time-varying delays. Finally, numerical simulations illustrate the validity of our theoretical results.

Place, publisher, year, edition, pages
IEEE Robotics and Automation Society, 2014. Vol. 59, no 8, 2012-2023 p.
Keyword [en]
Interference functions, positive systems, power control, time-varying delays, wireless networks
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electrical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-149181DOI: 10.1109/TAC.2014.2314951ISI: 000342923700002Scopus ID: 2-s2.0-84905169859OAI: oai:DiVA.org:kth-149181DiVA: diva2:738284
Funder
Swedish Foundation for Strategic Research Swedish Research Council
Note

QC 20140902

Available from: 2014-08-17 Created: 2014-08-17 Last updated: 2017-12-05Bibliographically approved

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Feyzmahdavian, Hamid RezaCharalambous, ThemistoklisJohansson, Mikael
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