Validation of linear fractional uncertain models: solutions via matrix inequalities

A time domain approach is provided in this paper to tackle the problem of model validation pertaining to uncertain models described by linear fractional transforms. Algorithms are given to solve these problems with respect to both unstructured and structured dynamic uncertainties. It is shown that in the first case the problem can be solved by finding a feasible solution to a convex optimization problem, while in the second case it amounts to solving a biaffine matrix inequality problem, to which we also provide a necessary condition that can be tested approximately