A Stability of High Order Distributed Power Control
(English)Manuscript (preprint) (Other academic)
A major challenge in power control of wireless networks is higher order dynamics introduced in implementations. In this paper we propose an extended distributed power control algorithm for wireless networks with high order dynamics included. A general class of interference functions is considered and sufficient conditions for stability are derived using two approaches. First stability is addressed using analysis in linear scale and then using logarithmic variables in a control theoretic approach with Lyapunov theory. Furthermore we prove local exponential convergence for the extended system model.
IdentifiersURN: urn:nbn:se:kth:diva-93259OAI: oai:DiVA.org:kth-93259DiVA: diva2:515473
Parts of the material is previously published in Proceedings of the European Control Conference 2009 and Proceedings of the 48th IEEE Conference on Decision and Control 2009. QC 2012041132012-04-132012-04-132012-04-13Bibliographically approved