On characterizations of the input-to-state stability property
Systems & Control Letters
Non-cooperative uplink power control in cellular radio systems
Wireless Networks - Special issue transmitter power control
Feedback Control of Dynamic Systems
Feedback Control of Dynamic Systems
CDMA uplink power control as a noncooperative game
Wireless Networks
A hybrid systems model for power control in multicell wireless data networks
Performance Evaluation - Selected papers from the first workshop on modeling and optimization in mobile, ad hoc and wireless networks (WiOpt'2003)
A framework for uplink power control in cellular radio systems
IEEE Journal on Selected Areas in Communications
Automatica (Journal of IFAC)
Wireless mesh networking games
GameNets'09 Proceedings of the First ICST international conference on Game Theory for Networks
Loss of continuity in cellular networks under stabilizing transmit power control
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
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This paper follows a game-theoretical formulation of the CDMA power control problem and develops new decentralized control algorithms that globally stabilize the desired Nash equilibrium. The novel approach is to exploit the passivity properties of the feedback loop comprising the mobiles and the base station. We first reveal an inherent passivity property in an existing gradient-type algorithm, and prove stability from the Passivity Theorem. We then exploit this passivity property to develop two new designs. In the first design, we extend the base station algorithm with Zames-Falb multipliers which preserve its passivity properties. In the second design, we broaden the mobile power update laws with more general, dynamic, passive controllers. These new designs may be exploited to enhance robustness and performance, as illustrated with a realistic simulation study. We then proceed to show robustness of these algorithms against time-varying channel gains.