We introduce a new scatter matrix functional which is a multivariate affine equivariant
extension of the mean deviation E(∣x-Med(x)∣). The estimate is constructed using the data …

… taken into account by means of the zonotope in a direct and nonconservative … zonotope
and a strip is flawed. In this paper, an improved method describing the intersection of a zonotope …

… 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 …

… in the context of time-varying parameters is that the Minkowski sum of a zonotope and a
box is a zonotope. That is, if the intersection FSSk\Fd is approximated by means of a …

… Zonotopes and related operations Zonotopes In this section, zonotopes and related
operations will be presented as a tool to implement Algorithm 1 and Algorithm 2. Definition 3. The …

The lower bound for the volume of the zonotope for John-basis had been given by Ball. In
this paper, a simple proof of Ball’s inequality was first provided, then the result of Ball was …

The paper proposes a robust fault detection method that takes advantage of a set-membership
identification procedure based on zonotopes for systems linear in the parameters with …

… In Section 3, we describe an arrangement of surfaces which encodes the topology of the
zonotope over all convex combinations of the sites. In Section 4 we use the arrangement to …

… A planar zonotope with three generators is depicted in Figure 1. Zonotopes admit a very
compact representations relative to their number of vertices or faces. A generic zonotope of …

… Detection of the intersection of a zonotope with a guard. 2. Computation of this intersection
- The intersection of zonotope with a band is not a zonotope. - Over-approximation algorithms…