… From the first version, DynIbex uses zonotopes to compute the solution of differential … a
zonotope and provide it as initial state. We add the following method to initialize a zonotope with a …

… As an application we obtain a zonotopal analogue of a conjecture of Stanley: among all
zonotopes the cubical lattice has the smallest c-2d-index coefficient-wise. We give a new …

… This approach splits a zonotope into two zonotopes, but these zonotopes may have a non-empty
intersection. Their union will be guaranteed to contain the original zonotope. …

… sets, called zonotopes, fill a convex cone in the space of compact convex sets, and the cone
of zonotopes is … The zonotopes of the present epoch were called parallelohedra those days. …

… First, we build on the fact that the scheduling polytope is a zonotope. Therefore, all of its
faces are centrally symmetric. Second, instead of \(C\), we consider the polytope \(Q\) of half …

… that, for any plane zonotope and the corresponding integer matrix A, we can choose a …
The matrix A determining the given plane zonotope contains two columns and consists of …

This thesis consists of two parts. In the first part, we start by investigating the classical
permutohedra as Minkowski sums of the hypersimplices. Their volumes can be expressed as …

… zonotope is the Minkowski sum in Rn of a finite collection of segments. Now consider such a
zonotope … is the complement in Tn of an open zonotope (geometrically the starting zonotope …

… Most recent strip-based observers use zonotopes since they … , the first paper proposing
zonotopes for set-based observers is [… By extending zonotopes to constrained zonotopes, one not …

… on 2-D zonotopes need to be implemented to obtain a zonotope-based dynamic threshold
for … Section III gives the mixed l∞/h∞ FDF design criterion and the zonotope-based residual …