In this thesis we study Mahler's conjecture in convex geometry, give a short summary about
its history, gather and explain different approaches that have been used to attack the …

We introduce the notions of arithmetic colorings and arithmetic flows over a graph with labelled
edges, which generalize the notions of colorings and flows over a graph. We show that …

… Dans [Bouchard 2008b], la géométrie de l’ETD est identifiée comme étant un zonotope,
ie un polytope convexe délimité par des hyperplans. Plusieurs formes de l’ensemble des tor…

In this paper, we show how to compute an over-approximation for the reachable set of
uncertain nonlinear continuous dynamical systems by using guaranteed set integration. We …

The purpose of this paper is to present a strictly mathematical model for interaction networks,
to address the question of steady-state analysis, and to outline an approach for …

… Following this approach, the authors have already proposed a method based on zonotope…
Quevedo, “Actuator fault tolerance evaluation of linear constrained MPC using zonotope…

Dear Reader: Disclaimer: These notes are still work in progress. There are still plenty of errors
and typos. Please proceed with caution! I am convinced that what I present to you in these …

… We guess that Pn is a subpolytope in some way of a certain convex polytope (actually a
Zonotope), the acyclotope Z(Kn) which was introduced by Zaslavsky in [23, Sect. 4], [21, Sect. 4] …

… zonotope c’est-à-dire une somme de Minkowski de segments de Rd. Un exemple de zonotope
… et les zones, le domaine des zonotopes est plus expressif que celui des octogones. Le …

We present a methodology and a toolkit for improving simulation coverage of Simulink/Stateflow
models of hybrid systems using symbolic analysis of simulation traces. We propose a …