… symmetric; they are called zonotopes, since their facets are arranged in zones. A convex
body which can be approximated, in the Hausdorff metric, by Zonotopes, is called a zonoid. …

Model checking can be used to verify temporal properties of hybrid automata. However,
model checking is not decidable in general. We overcome this difficulty by considering a …

The aim of this work is to find a tube which encloses a sequence of points representing a shape
that uses a set of linear static models by set-membership approach. The sequence of the …

This volume, containing 32 papers on a broad range of topics of current interest in the field,
is an outgrowth of the synergism of Discrete and Computational Geometry. It includes …

… For that recall that zonotopes are those convex polytopes whose faces are centrally symmetric
and also that the face lattice of a zonotopes is the dual of the lattice of closed faces of a …

… Since interval polynomials can be regarded as a special class of polytopes (zonotopes),
we solve the problem using the special properties of the class for efficiency, while linear …

… the zonotope generated by the vectors (e1, e2,..., eD) [18, 15] (in dimension 2, this zonotope
… Zonotopes are convex and centro-symmetric. This boundary is uniquely determined by the …

… , then the segment is transformed into a zonotope which is a sum of no more than 1/ε …
Even in dimension two, this zonotope cannot be ε-close to a Euclidean ball, for a small …

The problem of robustness in fault detection using observers has been treated basically using
the active approach, based on decoupling the effects of the uncertainty from the effects of …

… To verify that the zonotope described by the above z vector is indeed the d-permutahedron,
we proceed to show that its components, hereafter denoted v i with an abuse of notation v i =…