On a class of large-scale cost-coupled markov games with applications to decentralized power control

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2004, Pages 2830-2835

  Huang, Minyi ^a   Malhamé, Roland P ^b   Gaines, Peter E ^c  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^c MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CODE DIVISION MULTIPLE ACCESS; DECENTRALIZED CONTROL; MARKOV PROCESSES; NONLINEAR PROGRAMMING; OPTIMAL CONTROL SYSTEMS; QUALITY OF SERVICE; RAYLEIGH FADING;

CONTROL LAWS; HAMILTON-JACOBI-BELLMAN (HJB) EQUATIONS; OPTIMAL CONTROL; SIGNAL-TO-INTERFERENCE (SIR) RATIO;

POWER CONTROL;

EID: 14244256354     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (23)

1. T. Alpcan, T. Basar, R. Srikant, and E. Altman. CDMA uplink power control as a noncooperative game. Proc. 40th IEEE Conf. Decision Contr., Orlando, FL, pp.197-202, Dec. 2001.
2. J.-P. Aubin. Optima and Equilibria: An Introduction to Nonlinear Analysis. Springer, 2nd Ed., 1998.
3. R. Buche and H.J. Kushner. Control of mobile communications with time-varying channels in heavy traffic. IEEE Trans. Automat. Contr., vol.47, pp.992-1003, 2002.
4. N.T. Bui and S. Dey. Optimal power control in CDMA over Markov fading channels. Proc. IEEE International Symposium on Inform. Theory, pp.79, Lausanne, Switzerland, June, 2002.
5. J.-F. Chamberland and V.V. Veeravalli. Decentralized dynamic power control for cellular CDMA systems. IEEE Trans. Wilreless Commun., vol.2, no.3., pp.549-559, 2003.
6. C.D. Charalambous and N. Menemenlis. Stochastic models for long-term multipath fading channels. Proc. 38th IEEE Conf. Decision Contr., Phoenix, AZ, pp.4947-4952, Dec. 1999.
7. Y.L. Guan and L.F. Turner. Generalised FSMC model for the radio channels with correlated fading. IEE Proc.-Commun., vol.146, no.2, pp.133-137, 1999.
8. S.V. Hanly and D.N. Tse. Power control and capacity of spread spectrum wireless networks. Automatica, vol.35, pp.1987-2012, 1999.
9. T. Holliday, A. Goldsmith, and P. Glynn. Optimal link adaptation in wideband CDCMA systems. Proc. IEEE Globecom, pp.721-726, Nov. 2002.
10. M. Huang, P.E. Caines, C.D. Charalambous, and R.P. Malhamé. Stochastic power control for wireless systems: classical and viscosity solutions. Proc. 40th IEEE CDC, Orlando, FL., pp.1037-1042, Dec. 2001.
11. M. Huang, P.E. Caines, and R.P. Malhamé. Uplink power adjustment in wireless communication systems: a stochastic control analysis. IEEE Trans. Automat. Contr., 2004 (to appear).
12. M. Huang, P.E. Caines, and R.P. Malhamé. Individual and mass behaviour in large population stochastic wireless power control problems: centralized and Nash equilibrium solutions. Proc. 42nd IEEE CDC, Maui, HI, pp.98-103, Dec 2003.
13. M. Huang, P.E. Caines, and R.P. Malhamé. Large-population cost-coupled LQG problems: individual-mass behaviour and decentralized ε-Nash equilibria. Submitted to IEEE Trans. Automat. Contr. Sept. 2004 (Short version in Proc. the 43rd IEEE CDC Conf., Dec. 2004).
14. M. Huang, R.P. Malhamé, and P.E. Caines. Stochastic power control in wireless communication systems with an infinite horizon discounted cost Proc. ACC., Denver, CO, pp.963-968, June, 2003.
15. M. Huang, R.P. Malhamé, and P.E. Caines. Stochastic power control in wireless communication systems: analysis, approximate control algorithms and state aggregation. In Proc. 42nd IEEE CDC, pp.4231-4236, Maui, HI, Dec. 2003.
16. P. Ligdas and N. Farvardin. Optimizing the transmit power for slow fading channels. IEEE Trans. Inform. Theory, vol.46, no.2, pp.565-576, 2000.
17. D. Kim. On the convergence of fixed-step power control algorithms with binary feedback for mobile communication systems. IEEE Trans. Commun., vol.49, no.2, pp.249-252, 2001.
18. QUALCOMM Inc. An overview of the application of Code Division Multiple Access (CDMA) to digital cellular systems and personal cellular networks. (Document no. EX60-10010), 1992.
19. L. Song, N.B. Mandayam, and Z. Gajic. Analysis of an up/down power control algorithm for the CDMA reverse link under fading. IEEE J. Select. Areas Commun., vol.19, no.2, pp.277-286, 2001.
20. C.W. Sung and W.S. Wong. A distributed fixed-step power control algorithm with quantization and active link quality protection. IEEE Trans. Vehic. Technol, vol.48, no.2, pp.553-562, 1999.
21. D.N.C. Tse and S.V. Hanly. Linear multiuser receivers: effective interference, effective bandwidth and user capacity. IEEE Trans. Inform. Theory, vol.45, no.2, pp.641-657, 1999.
22. S. Verdú and S. Shamai. Spectral efficiency of CDMA with random spreading. IEEE Trans. Inform. Theory, vol.45, no.2, pp.622-640, 1999.
23. J. Zhang and E.K.P. Chong. CDMA systems in fading channels: admissibility, network capacity and power control. IEEE Trans. Inform. Theory, vol.46, no.3, pp.962-981, 2000.