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 power control scheme developed through simulations.

Author Keywords: Wireless networks; Power control; Hybrid systems; Noncooperative game theory; Nash equilibrium

Article Outline

1. Introduction

2. The model and Nash equilibrium

3. Hybrid modeling and stability

3.1. Stability in the static case

3.2. The dynamic case and hybrid modeling

3.3. Stability under feedback delays

3.4. Communication constraints

4. Simulations

5. Conclusion

Acknowledgements

References

Vitae

Corresponding author.

*1 Research supported in part by the NSF grant CCR 00-85917.