Power control in wireless systems: A stochastic control formulation
Caines, P. E.
Charalambous, Charalambos D.
Malhamé, R. P.
SourceProceedings of the American Control Conference
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This paper considers power control for log-normal fading channels. A rate based power set point control model and an associated performance measure are introduced. Within this framework, a unique stochastic optimal power control law exists, and the value function of the optimal control is a viscosity solution to the corresponding HJB equation. An interpretation of the nature of the resulting control laws is presented.
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