… 25], the zonotope-based method can satisfy the requirement of estimation accuracy and
computation complexity. In this paper, we make an improvement on the zonotope-based method …

… are zonotopes [66]. Definition 2 (Zonotope): A set is called a zonotope if it can be written as
… noise V are given as zonotopes or can be overapproximated by zonotopes. This is actually …

… 2, ReachEigen delineates the zonotopes of possible eigenvalues under specific uncertainties,
as shown in the zoomed-in subplots in Fig. 3. Eigenvalue solutions by traversing the …

… of hyperplane arrangements and zonotopes, the Minkowski addition of convex polytopes,
etc. … points in the zonotope Z and k ≥ 2d, because the zonotope Z is combinatorially a cube. …

This paper proves the following statement: {\it If a convex body can form a twofold translative
tiling in $\mathbb{E}^3$, it must be a parallelohedron.} In other words, it must be a …

… , polynomial zonotopes do not have any advantages over zonotopes. Therefore, we use
zonotopes for computations with linear or linearized systems and polynomial zonotopes when …

… We use a description in terms of acyclic orientations as it is closer to the description of the
vertices of the zonotope that we will use later in Section 2. We consider the graph Gk(n) with …

… To empirically applied this framework, we will use the Zonotope Stata command developed
… We start by providing a graphical illustration of Zonotopes. Figure 3 illustrates Zonotopes for …

This letter proposes using the Koopman operator for reachability analysis of an autonomous
dynamical system. In particular, we demonstrate the application of spectral analysis of the …

… with zonotopes. For polynomial zonotopes we apply the reduction method in [33, Prop. 10],
which is based on order reduction for zonotopes so that the bound in (18) can be enforced. …