A Robustness Analysis of Game-Theoretic CDMA Power Control

Authors

XINGZHE FAN
MURAT ARCAK
JOHN T. WEN

DOI

-

Abstract

This paper studies robustness of a gradient-type CDMA uplink power control algorithm with respect to disturbances and time-delays. This problem is of practical importance because unmodeled secondary interference effects from neighboring cells play the role of disturbances, and propagation delays are ubiquitous in wireless data networks. We first show L_p-stability, for p \in [1,\infity], with respect to additive disturbances. We pursue L_{\infity}-stability within the input-to-state stability (ISS) framework of Sontag [7], which makes explicit the vanishing effect of the initial conditions. Next, using the ISS property and a loop transformation, we prove that global asymptotic stability is preserved for sufficiently small time-delays in forward and return channels. For larger delays, we achieve global asymptotic stability by scaling down the step-size in the gradient algorithm.

First Page

139

Last Page

150

Recommended Citation

FAN, XINGZHE; ARCAK, MURAT; and WEN, JOHN T. (2004) "A Robustness Analysis of Game-Theoretic CDMA Power Control," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 12: No. 3, Article 1. Available at: https://journals.tubitak.gov.tr/elektrik/vol12/iss3/1