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This paper aims to develop a novel distributed power control algorithm based on the theory of stochastic approximation. The optimal control problem is first converted into a stochastic approximation problem in which the zero point of a specific function is determined. A distributed power control algorithm is then derived using standard techniques. In the distributed algorithm, each user iteratively updates its power level by using estimates of the signal-to-interference ratio (SIR) of its channel. It does not require any knowledge of the link gains and state information of other users. The algorithm can handle errors in the SIR estimates. Hence it is a robust algorithm that can be used in practical scenarios.