@article{c42cf3ab24e349ca8aba0d5fac401cd6,
title = "A passivity approach to game-theoretic CDMA power control",
abstract = "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.",
keywords = "CDMA power control, Game theory, Nonlinear control, Passivity",
author = "X. Fan and T. Alpcan and M. Arcak and Wen, {T. J.} and T. Ba{\c s}ar",
note = "Funding Information: This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Andrew R. Teel under the direction of Editor Hasson Khalil. This research is supported in part by the RPI Office of Research through an Exploratory Seed Grant. Research of T. Alpcan and T. Ba{\c s}ar was supported in part by NSF ITR Grant CCR 00-85917. Funding Information: Murat Arcak is an assistant professor of Electrical, Computer and Systems Engineering at the Rensselaer Polytechnic Institute in Troy, NY. He was born in Istanbul, Turkey in 1973. He received the B.S. degree in Electrical and Electronics Engineering from the Bogazici University, Istanbul, in 1996, and the M.S. and Ph.D. degrees in Electrical and Computer Engineering from the University of California, Santa Barbara, in 1997 and 2000, under the direction of Petar Kokotovic. He joined Rensselaer in 2001. Dr. Arcak's research is in nonlinear control theory and its applications, with particular interest in robust and observer-based feedback designs and in analysis and design of large-scale networks. In these areas, he has published over eighty journal and conference papers, and organized several technical workshops. He is a member of SIAM, a senior member of IEEE, and an associate editor for the IFAC journal Automatica. He received a CAREER Award from the National Science Foundation in 2003, and the Donald P. Eckman Award from the American Automatic Control Council in 2006. ",
year = "2006",
month = nov,
doi = "10.1016/j.automatica.2006.05.022",
language = "English (US)",
volume = "42",
pages = "1837--1847",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier Ltd",
number = "11",
}