Asymptotic and Exponential Stability of a General Class of Continuous-Time Power Control Laws in Wireless Networks

Hamid Reza Feyzmahdavian, Themistoklis Charalambous, Mikael Johansson

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussaConference contributionScientificvertaisarvioitu

Abstrakti

This paper develops a comprehensive stability analysis framework for continuous-time power control algorithms in wireless networks under bounded time-varying communication 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 in the presence of bounded heterogeneous time-varying delays. For this class of interference functions, we derive an explicit bound on the decay rate that allows us to quantify the impact of delays on the convergence time of the algorithm. Numerical simulations illustrate our theoretical results.
AlkuperäiskieliEnglanti
Otsikko2013 IEEE 52nd Annual Conference on Decision and Control (CDC)
KustantajaIEEE
Sivumäärä6
ISBN (elektroninen)978-1-4673-5717-3
ISBN (painettu)978-1-4673-5714-2
DOI - pysyväislinkit
TilaJulkaistu - 2013
OKM-julkaisutyyppiA4 Artikkeli konferenssijulkaisuussa
TapahtumaIEEE Conference on Decision and Control - Florence, Italia
Kesto: 10 joulukuuta 201313 joulukuuta 2013
Konferenssinumero: 52

Conference

ConferenceIEEE Conference on Decision and Control
LyhennettäCDC
MaaItalia
KaupunkiFlorence
Ajanjakso10/12/201313/12/2013

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  • Siteeraa tätä

    Feyzmahdavian, H. R., Charalambous, T., & Johansson, M. (2013). Asymptotic and Exponential Stability of a General Class of Continuous-Time Power Control Laws in Wireless Networks. teoksessa 2013 IEEE 52nd Annual Conference on Decision and Control (CDC) IEEE. https://doi.org/10.1109/CDC.2013.6759857