Zazo, SantiagoZazo, JavierSánchez-Fernández, Matilde2015-06-292015-06-292014-09Signal Processing Conference (EUSIPCO), 2014 Proceedings of the 22nd European (2014) pp. 401 - 405978-0-9928626-1-9https://hdl.handle.net/10016/21208The proceeding at: 22nd European Signal Processing Conference (EUSIPCO 2014), took place 2014, Septembre 1-5, in Lisbon (Portugal).This paper addresses an uplink power control dynamic game where we assume that each user battery represents the system state that changes with time following a discrete-time version of a differential game. To overcome the complexity of the analysis of a dynamic game approach we focus on the concept of Dynamic Potential Games showing that the game can be solved as an equivalent Multivariate Optimum Control Problem. The solution of this problem is quite interesting because different users split the activity in time, avoiding higher interferences and providing a long term fairness.5application/pdfeng© 2014 IEEEBatteriesEconomicsEquationsGamesMathematical modelPower controlUplinkA control theoretic approach to solve a constrained uplink power dynamic gameconference paperTelecomunicacionesopen access401405Signal Processing Conference (EUSIPCO), 2014 Proceedings of the 22nd EuropeanCC/0000022629