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. Similar to the structured singular
value, the exact calculation of the skewed structured singular value is an
NP-hard problem. In this work, two efficient algorithms that determine upper
and lower bounds on the skewed structured singular value are presented. These
algorithms are critically assessed using a series of robustness analysis tests
on a safety-critical experimental drive-by-wire vehicle.