… A zonotope is a centrally symmetric convex polytope: given a vector p ∈ Rn and a matrix
Ξ ∈ Rn×m, the zonotope X ⊆ Rn is the set X = {x | x = p + Ξd, ||d||∞ ≤ 1}, with d ∈ Rm. The …

… Example 2 (Random zonotopes). As in the previous example, let £1 ,...,£k be iid regularly …
The same argument as in Example 1 shows that the random zonotope X is regularly varying …

… We use zonotopes to represent all the sets appearing in the computations. A zonotope is
a convex polytope that is the image of the unit cube under an affine transformation. An …

… We can thus enclose xτη in a zonotope, enclose Bη(xτη) in a different zonotope, and use
Proposition 7.31 to obtain another zonotope containing all the states ξxτη (t) for t ∈ [0,τ]. In …

… n there is an n-dimensional zonotope Z which is dual to the … which is dual to the monotone
path zonotope of Z in the sense of … In connection with this zonotope we introduce in §4 below a …

… form a zonotope. They showed that the largest(smallest) shadow of convex polytopes equals
the radius of the smallest circumscribed (largest .inscribed) sphere of the zonotope. Figure …

… As a result, the input term ( ) is assumed to be bounded in a time-varying zonotope the shape
of which is defined by ( ). In particular, when ( ) is a square diagonal matrix, the input term …

… A zonotope being defined as the affine image of a unit hypercube (ie unit box) [7], [10], [14],
(24) shows that the initial state x0 is assumed to belong to a complex zonotope … to a zonotope …

We compare a traditional and non-traditional view on the subject of È-partitions, leading to
formulas counting linear extensions of certain posets. 1. Introduction. Our goal is to re-…

… Let Z4 = Z4 (u1,..., uk) be the family of all zonotopes that have … the problem of finding a
zonotope Z ∗ ∈ Z4 that satisfies … quite rich and it is not clear how to find the optimal zonotope Z …