Stochastic power control for wireless systems: Classical and viscosity solutions
Caines, P. E.
Charalambous, Charalambos D.
Malhamé, R. P.
SourceProceedings of the IEEE Conference on Decision and Control
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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 stochastic optimal power control law exists and the associated value function satisfies a degenerate HJB equation in a viscosity solution sense. The HJB equation is approximated by a uniformly parabolic second order equation which has a classical solution and a suboptimal control is derived. The suboptimal control is more realistic for practical implementation.
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