Extreme point solutions to the diagonal dominance problem and stability analysis of uncertain systems

This paper provides sufficient conditions for the robust stability of interval and affine linear multi-input/multi-output (MIMO) uncertain systems, based on Rosenbrock´s direct Nyquist array. The robust Gershgorin row/column, as well as the generalised diagonal dominance measures of transfer function matrices are re-defined for such systems, and the corresponding problems are solved based on using either vertices or edge points of the parameter space. An illustrative example is given