Asymptotic and Exponential Stability of General Classes of Continuous-Time Power Control Laws in Wireless Networks
2013 (English)In: Proceedings of 52nd IEEE Conference on Decision and Control December 10-13, 2013. Florence, Italy, IEEE conference proceedings, 2013, 49-54 p.Conference paper (Refereed)
This paper develops a comprehensive stabilityanalysis framework for continuous-time power control algorithmsin wireless networks under bounded time-varyingcommunication delays. Our first set of results establish globalasymptotic stability of power control laws involving two-sidedscalable interference functions, and include earlier work onstandard interference functions as a special case. We thenconsider contractive interference functions and demonstratethat the associated continuous-time power control laws alwayshave unique fixed points, which are exponentially stable evenin the presence of bounded heterogeneous time-varying delays.For this class of interference functions, we derive an explicitbound on the decay rate that allows us to quantify the impactof delays on the convergence time of the algorithm. Numericalsimulations illustrate our theoretical results.
Place, publisher, year, edition, pages
IEEE conference proceedings, 2013. 49-54 p.
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-136171ISI: 000352223500009ScopusID: 2-s2.0-84902329038OAI: oai:DiVA.org:kth-136171DiVA: diva2:675503
IEEE Conference on Decision and Control (CDC),December 10-13, 2013. Florence, Italy
QC 201401032013-12-042013-12-042015-12-08Bibliographically approved