… for using zonotopes and constrained zonotopes to improve … the use of constrained zonotopes
to represent sets resulting … inner-approximations of zonotopes and constrained zonotopes. …

… zonotopes. On the other hand, reduction becomes more complex than for zonotopes, …
either zonotopes or constrained zonotopes in the context of nonlinear set-valued estimation. …

… zonotopes additionally consider linear equality constraints for the zonotope factors, whereas
zonotope bundles represent the set implicitly by the intersection of several zonotopes. A …

… Zonotope bundles, as well as constrained zonotopes, are both able to … to zonotopes are
complex zonotopes [26] and zonotopes with subpolyhedric domains [27]. Complex zonotopes …

… constrained zonotopes … zonotopes based on nonlinear constraints. This paper also presents
significant improvements to existing prediction and update steps for constrained zonotopes. …

… To this end, we use matrix zonotopes since they can be used in a … The conversion of a matrix
zonotope M to an interval matrix is … , we write zonotope to convert an interval to a zonotope. …

… and a zonotope only consists of linear constraints, one cannot hope for an exact conversion.)
We construct a structured zonotope Z as the Minkowski sum Zl⊕Hnl of a zonotope and a …

… , 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 …

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-…

… zonotopes will be given in Section 2. In this paper, we provide the asymptotic diameter of the
primitive zonotopes … diameter δz(d, k) of a lattice zonotope contained in the hypercube [0,k]d …