This paper considers the application of the skewed structured
singular value to the robust stability of systems subject to strictly real
parametric uncertainty. Three state space formulations that counteract the
discontinuous nature of this problem are detailed. It is shown that the calculation
of the supremum of the structured singular value over a frequency range using
these formulations transforms into a single skewed structured singular value
calculation. Like the structured singular value, the calculation of the exact value
of the skewed structured singular value is a NP-hard problem, therefore
alternative, less computationally demanding algorithms to determine upper and
lower bounds are necessary. Two algorithms that determine upper and lower
bounds on the skewed structured single value are presented. These algorithms are
critically assessed by performing a robust stability analysis on a
safety-critical experimental drive-by-wire vehicle.