Fast Computation of Dilation Integrals for Robustness Analysis

It is shown how recent results on combinations of sequences of quadrature formulae with high polynomial exactness represent an efficient technique for the fast computation of the so-called dilation integrals. These integrals were introduced in the modern robustness literature as a tool for addressing approximate robustness in problems involving polynomial parameter dependence. As a result, the calculations are simplified and more precise conclusions can be made about approximate robustness. Illustrative examples of the proposed approach are presented.