… Their effect is addressed using an interval state observation method based on zonotope …
zonotopes are used to bound the set of uncertain estimated sets. Let us introduce zonotopes…

Facts (Dahmen and Micchelli):(1) SX is piecewise polynomial; its local pieces span a space
D (X) of polynomials, defined by nice differential equations.(2) PX is piecewise …

… zonotope. In this paper we consider the related question: When is the Minkowski sum of a
general parallelotope and a zonotope $… Using this we classify such zonotopes for some highly …

… As a consequence, we determine that the angle sums of a zonotope are given by the
characteristic polynomial of the order dual of the intersection lattice of the arrangement. …

… 23 and later in this paper to build the zonotope. In fact, we will see that the faces of the
zonotope are supported by such hyperplanes. Because the analysis presented in Ref. 15 does …

We show that the Minkowski sum of the Voronoi polytope of the root lattice and the zonotope
is a 7-dimensional parallelohedron if and only if the set consists of minimal vectors of the …

… by zonotopes is further used in this paper. Contrary to ellipsoids, the Minkowski sum of two
zonotopes is a zonotope, … In addition, zonotopes can represent uncertainties independently in …

… We introduce a multiplicity Tutte polynomial M(x, y), with applications to zonotopes and toric
… M(x, 1) computes the volume and the number of integer points of the associated zonotope. …

… The method developed in this paper represents reachable sets using zonotopes, a class of
… are interested in zonotopes in the space of matrices. We will call them matrix zonotopes and …

… A particular class of polytopes, zonotopes, can be used to implicitly represent the computed
… in extending an existing algorithm based on zonotopes so that it can efficiently propagate …