We consider the convergence issues of distributed power-control algorithms for mobile cellular systems. A convergence theorem for power-control algorithms of canonical type is proved. Our result generalizes Yates' framework and provides a new outlook on the problem. The general applicability of the theorem is demonstrated by showing that many well-known distributed algorithms are canonical. Furthermore, by devising some new discrete algorithms, we exemplify how the theorem can be used to aid new design.
['Kin Kwong Leung', 'Chi Wan Sung', 'Wing Shing Wong', 'Tat-Ming Lok']
Convergence theorem for a general class of power-control algorithms