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

Summary: A Hybrid Systems Model for Power Control in
Multicell Wireless Data Networks
Tansu Alpcan 1 and Tamer Bas¸ar 1
(alpcan, tbasar)@control.csl.uiuc.edu
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

  

Source: Alpcan, Tansu - Deutsche Telekom Laboratories & Technische Universität Berlin

 

Collections: Engineering