Quality of service control for wireless systems: minimum power and minimum energy solutions
Minyi Huang, Roland P. Malhamé, Peter E. Caines · 2002
This paper considers power control for log-normal fading channels. We adopt a stochastic optimal control framework. Under a bounded control constraint, the stochastic control is analyzed by the viscosity solution approach. When a quadratic type cost index is used without a bound constraint on the control, the value function is a classical solution to the degenerate HJB equation and the feedback control is affine linear.