… applications include [20], [21], [22], [23], where zonotopes are used for the … zonotope describe
bounding volumes for the purpose of collision detection. We propose the use of zonotopes …

… sets is a zonotope, but the order we define on affine sets is stronger than the inclusion of
the geometric concretization: it is equivalent to the inclusion of the zonotopes describing the …

… , we investigate zonotopes in Rd generated by d or d + 1 segments, and also zonotopes in
Rd generated by n ≫ d segments. We collect our results for these two types of zonotopes in …

… , for the new notion of asymmetric L p zonotope. These zonotopes are the L p sums of line
… ∖ { o } , then the associated asymmetric L p zonotope Z p + Λ is the unique compact convex …

We propose a method to perform set-based state estimation of an unknown dynamical
linear system using a data-driven set propagation function. Our method comes with set-…

… The zonotope construction problem is to list all extreme points of a zonotope given by its …
we obtain a natural generalization of the zonotope construction problem: the construction of the …

… Furthermore, the parameter matrices for the construction of these distributed zonotopes are
… by zonotopes. Firstly, we define the parameterized distributed state bounding zonotope for …

… However, zonotopes are not closed under intersection leading to challenges … zonotope
bundles as the intersection of zonotopes (without explicitly computing the intersection). Zonotope …

… Reduction of zonotopes. In this section, we present special continuous transformations of
zonotopes, that keep unchanged the volume and simplify the structure. In such a reduction …

… zonotopes. We choose an integration step τ = T/(N +1) and compute a sequence of zonotopes
… We do not detail how the first zonotope of the sequence, Ω0, is computed (see [7]). Then, …