We introduce the notion of arithmetic matroid, whose main example is provided by a list of
elements in a finitely generated abelian group. We study the representability of its dual, and, …

Within this article we discuss the structure of those polytopes in which are Minkowski sums
of de Gua simplexes. A de Gua simplex is the convex hull of the origin and n positive …

… This becomes even more apparent in the case of cyclic zonotopes discussed in Section 8.
We elaborate no further on this here, but refer to [11, Chp. 2] for a technically satisfying setup. …

… using the distance between the zonotope and the data-hyperspace. … zonotope is expanded
by the calculated parameter variation and the intersection between the expanded zonotope …

In this paper we describe reachability computation for continuous and hybrid systems and its
potential contribution to the process of building and debugging biological models. We then …

… Zonotope-based approaches to fault detection were also recently proposed in Combastel and
… general, less computationally demanding when compared to zonotopebased approaches. …

In this paper, the properties of a criterion to quantify the overestimation arising in both interval
evaluation of multidimensional nonlinear multivariate functions and interval simulation of …

Prompted by the development of algorithms for analysing geometric tolerancing, this article
describes a method to determine the Minkowski sum for 3-dimension polytopes. This …

… forces by J ~ , which will produce a zonotope whose edges are … (15) will be deformed by
the mapping, leading to a zonotope. Hence the real range of joint forces will be increased. This …

We study a class of ill-posed linear inverse problems in which the underlying model of
interest has simple algebraic structure. We consider the setting in which we have access to a …