… Using zonotopes for linear systems allows to compute, with a sampled approach, an over-…
One main limit when using zonotopes for hybrid systems is linked to the computation of …

… utilise le domaine abstrait faiblement relationnel des zonotopes [13], qui établit un bon
compromis entre performance et précision. Les zonotopes sont des ensembles de formes affines …

… will be the Minkowski sum of a central zonotope γ(CX) and a perturbation zonotope
centered on 0, γlin(PX). There is an easy way to characterize the linear concretization γlin(A): …

… A (centred) zonotope is a Minkowski sum of (centred) … ) zonotopes in the space of convex
bodies with the Hausdorff metric. Hence each (centred) zonoid is a limit of (centred) zonotopes. …

… We remark that in the case of a zonotope (ie a Minkowski sum of line segments) this formula
takes a … This is McMullen's volume formula for zonotopes ([She74]). In the gener case the …

Every (pseudo) line arrangement has a specialized dual plane graph in which all the cells
are zonogons, ie, two-dimensional zonotopes. In the case where the (pseudo) line …

… This class of polytopes is wider than the class of zonotopes, moreover, it is easy to see
that any convex body of Ed can be represented as a limit of a covergent sequence of belt …

Aimed at verifying safety properties and improving simulation coverage for hybrid systems
models of embedded control software, we propose a technique that combines numerical …

… Parametric uncertainty effects are propagated to the observer output using a zonotope …
The problem of robust fault detection with an interval observer using zonotope where …

… ,...,an} of vectors spanning Rd, let the zonotope Z(X) be the Minkowski sum of these vectors.
The box spline BX is a piecewise polynomial function on the zonotope Z(X), defined as the …