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A Hybrid Systems Model for Power Control in Multicell Wireless Data Networks

Abstract : We present a power control scheme based on noncooperative game theory, using a fairly broad class of convex cost functions. The multicell CDMA wireless data network is modeled as a switched hybrid system where handoffs of mobiles between different cells correspond to discrete switching events between different subsystems. Under a set of sufficient conditions, we prove the existence of a unique Nash equilibrium for each subsystem, and prove global exponential stability of an update algorithm. We also establish the global convergence of the dynamics of the multicell power control game to a convex superset of Nash equilibria for any switching (handoff) scheme satisfying a mild condition on average dwell-time. Robustness of these results to feedback delays as well as to quantization is investigated. In addition, we consider a quantization scheme to reduce the communication overhead between mobiles and the base stations. Finally, we illustrate the proposed power control scheme through simulations.
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https://hal.inria.fr/inria-00466298
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Submitted on : Tuesday, March 23, 2010 - 1:54:10 PM
Last modification on : Thursday, August 1, 2019 - 2:13:44 PM
Long-term archiving on: : Monday, June 28, 2010 - 4:27:15 PM

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  • HAL Id : inria-00466298, version 1

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Tansu Alpcan, Tamer Basar. A Hybrid Systems Model for Power Control in Multicell Wireless Data Networks. WiOpt'03: Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, Mar 2003, Sophia Antipolis, France. 8 p. ⟨inria-00466298⟩

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