  We provide convex necessary and sufficient conditions for the robust
stability of linear positively dominated systems. In particular we show that
the structured singular value is always equal to its convex upper bound for
nonnegative matrices and we use this result to derive necessary and sufficient
Linear Matrix Inequality (LMI) conditions for robust stability that involve
only the system's static gain. We show how this approach can be applied to test
the robust stability of the Foschini-Miljanic algorithm for power control in
wireless networks in presence of uncertain interference.
