Value sets of ellipsoidal polynomial families with affine linear uncertainty structure

Abstract

The contribution focuses on the value sets of the ellipsoidal polynomial families with affine linear uncertainty structure. First, it recalls the fundamental terms from the area of robustness under parametric uncertainty, such as uncertainty structure, uncertainty bounding set, family, and value set, with emphasis to the ellipsoidal polynomial families. Then, the illustrative example is elaborated, in which the value sets of the ellipsoidal polynomial family with affine linear uncertainty structure are plotted, including randomly chosen internal points, and compared with the value sets of the classical “box” version of the polynomial family. © Springer Nature Switzerland AG 2019.