… zonotopes, which include as a special case parallelotopes. This thesis will show that the
zonotope … As an extension of the use of set representation with zonotopes, this thesis presents a …

Given some unit vectors a1,…,am∈ℝn that span all ℝn and some positive numbers θ1,…,θm,
we consider for every p≥1 the convex body We will give some upper bounds for the …

… (by intervals and, more precisely, by zonotopes, a particular class of polytopes), this work …
Using reachability algorithms based on zonotopes to control the dependency problem and …

… In what follows, we show that the belt diameter of a parallelohedron that is a zonotope of …
a zonotope Z(V ) and the dimension of V decreases, then the corresponding zonotope Z(V \ {v}) …

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 …

… We will take the advantage of the fact that a zonotope given by the generator description
is a kind of an implicitly defined polyhedron in the sense of [6]. … For a proof of polynomial-time …

… parallelotope P and a zonotope Z(U), where U is the set of vectors used to generate the
zonotope. In this paper … Using this we classify such zonotopes for some highly symmetric lattices. …

… 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…

… A set-membership state estimator based on propagating the uncertainty using zonotopes is
… zonotopes are used to bound the set of uncertain estimated sets. Let us introduce zonotopes…

… The splitted zonotopes of the original zonotope Z are denoted Z1, Z2 and the ones of the …
As the set difference of two zonotopes is no zonotope anymore, the zonotopes are over-…