The main subject of this thesis is the geometry of low dimensional lattices. We concentrate
on two central problems: the lattice covering problem and the classification of polytopes that …

This paper introduces a new interval observer based on direct and reverse time estimates.
The observer is designed on the basis of the optimal observer proposed in (Moisan et al., …

… extended to the notion of zonotopes: a zonotope is an affine mapping of an hypercube and
it is quite more general than standard intervals. In this case, zonotopes can be used to obtain …

… The dual tiling of a multigrid consists of zonotopes. A zonotope is a polytope (a generalization
of polygons to multiple dimensions) with point symmetry whose faces also have point …

This paper is dedicated to bounded error identification with complex valued non-linear models.
Complex intervals are characterized by using polar forms and a new inclusion function is …

… Gronchi show an analogous result for p-zonotopes instead of the p-sum, p ∈ (1,∞) (see [2]).
As a consequence of Theorem 3 and the previous considerations, if {K(t)} is a parallel chord …

In 1981, Stanley applied the Aleksandrov-Fenchel inequalities to prove a logarithmic
concavity theorem for regular matroids. Using ideas from electrical network theory we prove a …

A problem of estimation of states of a dynamical object on the base of incomplete and inexact
measurements is studied. The focus is on a set‐based estimation of states required for …

• The presented strategy allows in our opinion a more suitable description of measurement
uncertainties than in the pure stochastic case• Independent extension of the pure stochastic …

… Delone proved the case n 4, Engel established it for n = 5, and Erdahl showed that Voronoii's
conjecture is true when P is a zonotope. Aside from these special cases, the conjecture …