When bounds on the parameters of a linear-in-the-parameters model are computed, the exact feasible parameter set defined by the bounds (a polytope) is usually approximated by a simpler shape such as an ellipsoid. However, such simpler bounds may be much looser than the exact bounds. A new...

This paper discusses the problem of parameter identification in presence of errors and uncertainties characterized by a set-membership description. Some relations existing between posterior identifiability, structure selection and validation, and the influence of modeling and measurement error...

In a very general sense, estimation problems are concerned with relating measurements to a (hopefully small) region containing the unknown state or parameters. Polytopes present a natural candidate for the representation and manipulation of such regions. In fact, assuming the existence of a...

Set-membership estimation (or parameter bounding) assumes that the error corrupting the data is described only by upper and lower bounds between which its realizations must lie. It aims at providing a description of the set of all parameter vectors that are consistent with the data, error bounds...