… In this work we discuss the inclusion relation between centred zonogons (centred
zonotopes in the plane). Our purpose is to use the implicit presentation of zonotopes as …

Given some unit vectors a1,…,am∈ℝn that span all ℝn and some positive numbers θ1,…,θm,
we consider for every p≥1 the convex body We will give some upper bounds for the …

… For the whole subsection, we fix some zonotope ZV and when will refer to tilings of this
zonotope without specifying the zonotope ZV explicitly. We will make use of two particular tilings. …

… set-valued localization with computationally efficient zonotope set representations. While
existing … We extend our prior work to propose Mosaic Zonotope Shadow Matching (MZSM) that …

Verification and synthesis of Cyber–Physical Systems (CPS) are challenging and still raise
numerous issues so far. In this paper, based on a new concept of mixed sets defined as …

… of these individual zonotopes whose intersection forms the … The intersection of zonotopes
was called a zonotope bundle in [… of a zonotope or the representation of a zonotope in the …

… (by intervals and, more precisely, by zonotopes, a particular class of polytopes), this work …
Using reachability algorithms based on zonotopes to control the dependency problem and …

… known as zonotopes is derived from intervals [6]. Zonotopes have been used to over
approximate the reachable set of dynamic systems [7], [8]. However zonotopes are not closed under …

… zonotopes for computing outer-approximations of reachable sets for nonlinear continuous
systems. Next, we show that with sparse polynomial zonotopes … polynomial zonotopes, we …

… use zonotopes, a sub-polyhedric domain that shows a good compromise between cost and
precision. As zonotopes … on zonotopes, such as a novel splitting algorithm based on paving …