… I show that Voronoi’s conjecture holds for the special case where the parallelotope is a
zonotope. I also show that the Voronoi polytope for a lattice is a zonotope if and only if the …

… zonotopes and support functions. As a result, we propose representing reachable sets as a
combination of support functions and zonotopes… support functions or zonotopes. The benefits …

… called the generators, the zonotope generated by G is the … k, natural candidates include
zonotopes generated by short integer … the primitive zonotope \(Z_q(d,p)\) defined as the zonotope …

This paper proposes a set-membership state estimator and a zonotopic Kalman observer
for discrete-time descriptor systems. Both approaches are developed in a set-based context …

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

… the volume of the zonotope. In [16], the minimization of the P-radius of the zonotope leads to
a … of the segments minimization and the accuracy of the volume minimization of 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 …

… 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. …

In this paper a new approach for worst-case state estimation and simulation under structured
uncertainty based on the use of an existent algorithm for solving validated initial value …

… Zonotopes are becoming an increasingly popular … zonotopes are closed under Minkowski
addition and linear maps, which can be very efficiently implemented. Unfortunately, zonotopes …