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

Hamid Reza Feyzmahdavian, Themistoklis Charalambous, Mikael Johansson

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Abstract

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.
Original languageEnglish
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control (CDC)
PublisherIEEE
Number of pages6
ISBN (Electronic)978-1-4673-5717-3
ISBN (Print)978-1-4673-5714-2
DOIs
Publication statusPublished - 2013
MoE publication typeA4 Article in a conference publication
EventIEEE Conference on Decision and Control - Florence, Italy
Duration: 10 Dec 201313 Dec 2013
Conference number: 52

Conference

ConferenceIEEE Conference on Decision and Control
Abbreviated titleCDC
CountryItaly
CityFlorence
Period10/12/201313/12/2013

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    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. In 2013 IEEE 52nd Annual Conference on Decision and Control (CDC) IEEE. https://doi.org/10.1109/CDC.2013.6759857