… Recall that the zonotope is a polyhedron, represented as the Minkowski sum of segments,
and the zonoid is a limit of a sequence of zonotopes converging with respect to the Hausdorff …

… We will denote the zonotope generated by V as Z(V ). As mentioned before, it is typically
useful when objects can be decomposed as unions of simpler objects, eg the theory of …

… Moreover, compare the two algorithms with the minimizing the segments of the zonotope
method (MSZM) described in [12] and the initial … Guaranteed state estimatin by zonotope …

… , we project the last zonotope not intersecting the guard set onto the guard set; second, we
apply principal component analysis to the generators of the projected zonotope, providing us …

… Zonotope produced by plotting two affine forms on a cartesian plane. The rectangle
surrounding the zonotope shows the cartesian product of the ranges of these affine forms [RK15, …

… for safety is zonotope reachability [3]. Reachability computation using zonotopes offers
efficient … Zonotopes have been used in verification of automated vehicles [2], the design of safe …

The classical Hlawka inequality possesses deep connections with zonotopes and zonoids
in convex geometry, and has been related to Minkowski space. We introduce Hlawka Type-1 …

… Since every edge of a zonotope is a translate of one of the line segments from which it is …
inheritance of circuits in zonotopes: the only circuits that a zonotope inherits from its hypercube …

… the Cayley digraph of B: we show that A must be close to a set of the form kZ ∩ Zd, where
for the vertex boundary Z is the conical hull of B, and for the edge boundary Z is the zonotope …

… references therein) using reachability analysis with zonotopes and linearized dynamics.
Reachable set approximations have also been obtained through zonotopes in other works,2-4 (…