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. Both unstructured and structured dynamic uncertainties are considered. 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 only a convex optimization-based necessary condition is given.