… zonotopes, e(t) is also bounded in a zonotope denoted by Ω = 〈0,H(k)〉, where H(k) ∈ R(nx+nf
)×r . According to (11), the generator matrix H(k) of the zonotope Ω … zonotopes, we have …

… Furthermore, the simplification of the set representation is tackled by limiting the Hausdorff
distance between the original and reduced sets; we demonstrate this for zonotopes. Both …

… Hereinafter zonotopes will be denoted as Z = 〈c, H〉. Besides, given matrix L ∈ Rl×n and
… entails the construction of highly dimensional zonotopes, as well as certain knowledge …

… For the sake of simplicity, we have assumed that the center of zonotope Z w is a zero vector.
However, this method can be also applied for the case where the center of this zonotope is …

… Using a machinery of cubillages in cyclic zonotopes of odd dimensions, we generalize, to
an arbitrary odd r ≥ 1, two well-known results on weakly separated collections obtained in [LZ?…

… To achieve this, we conservatively abstract the original dynamics by a polynomial right-hand
side and represent sets by polynomial zonotopes [1]. Since polynomial zonotopes preserve …

… The permutahedron is a zonotope, ie a Minkowski sum of line segments: … Then Πσ n has
the following zonotope description: … What if Z is a rational translate of a lattice zonotope? …

… We measure this reduction for the case when the Newton polytopes are zonotopes
generated by 𝑛 line segments (where 𝑛 is the rank of the underlying lattice), and for the case of …

… CORA is an actively developed Matlab library centered around zonotopes and contains
implementations of zonotope bundles, matrix zonotopes, and polynomial zonotopes [1]. The ellip…

… The prediction step uses the previous state zonotope, the zonotopes of disturbances …
zonotope; the update step combines the prediction zonotope with a strip and the state zonotope at …