… For all these reasons, we chose to use zonotopes for our computation. In the following
section, we briefly introduce zonotopes and our algorithm to compute the reachable sets of the …

… class of zonotopes we determine the minimal volume of a zonotope containing the … zonotopes
contains a parallelepiped. Based on that link to ±1-matrices, we characterize all zonotopes …

This paper presents an approach to safety verification of a controlled cooperative platoon of
vehicles. To guarantee collision free operation, spacing errors must not exceed critical …

In this paper, the problem of identification for passive robust fault detection when parametric
modeling uncertainty is considered in case the monitored system is represented by a LPV …

… is closely related to the properties of zonotopes, and in fact, … and extended affine surface
area, zonotopes) and well-known … In this section, we will introduce the concept of Lp-zonotopes …

… We associate to the list X a zonotope, that is a convex polytope … We start by showing the
relations with the zonotope Z(X) … the number of integral points of the zonotope Z(X). Moreover we …

… So, asking for images of zonotopes under projections or for central sections of their duals
does not give anything new: We get again zonotopes resp. duals of zonotopes. The …

We want to explain some formulas appearing in connection with root systems and their
zonotopes which are relevant for the theory of the Kostant partition function. In particular, we …

… Guaranteed state estimation by zonotopes for systems with … Guaranteed state estimation
by zonotopes for systems with … Guaranteed state estimation by zonotopes for systems with …

Minkowski’s second theorem on successive minima gives an upper bound on the volume of
a convex body in terms of its successive minima. We study the problem to generalize …