… Zonotopes and zonoids are convex bodies that are finite and infinite sums of segments.
Zonotopes … Moreover, every zonotope has " zones"-the set of two-dimensional faces containing …

… Let B be a zonotope of R2 with 2m vertices b0,...,b2m−1 having its center of symmetry at
the origin of coordinates (see Fig. 3 for an example). The segment sk := bkbk+1(mod 2m) is a …

… In this section, we assume that the zonotope Z is defined via an almost rich set D. Then,
being connected by an h-horizontal edge is an equivalence relation on the vertices of a given …

… zonotopes for D = 4 and d = 2. The matrix A is known as the generator of the zonotope Z;
we use the notation Z(A) to denote the zonotope … domain is the zonotope . For classification …

… As before, we let D be the zonotope generated by all eS for λ-balanced hyperedges S and
ask whether all points in D ∩ L are degree sequences for λ-balanced hypergraphs. We will …

… If we only consider F on zonotopes, then even the monotonicity (P2) can be relaxed. …
Using (P1), we can replace each line segment in (3) by a zonotope. This completes the proof of …

… The zonotope is bisected into sub-zonotopes and the evolutions of all sub-zonotopes
under the related local feedback control law are within the original zonotope. …

How to compute PostA (Y)? Then Post∗ A (Y) won’t be long? Consider the case where Y⊆
Q is finite (a lot easier!) Compute Poste (Y) for discrete action e∈ A? Poste (Y)={(q+, x+):∃(q, …

Analysis of continuous systems like reachability computation is a strongly studied field [2],
however its tracktability over dimension lead to some limitations concerning set representation…

… of generators and the complexity of zonotopes. It may therefore be mandatory, in order to
make the computation simpler, to substitute some zonotopes by others that include them but …