… In particular, in this work the parametric uncertainty is bounded by a zonotope. Fault detection
is then based on checking, at every sampling time, the non existence of a parameter value …

The semi-discrete convolution with the box spline is an important tool in approximation theory.
We give a formula for the difference between semi-discrete convolution and convolution …

… We derive a geometric characterization of the set: we show that it is a zonotope in the
parameter space. We show that even for models with a small number of regression parameters …

… is bounded by a zonotope and propagated to the residuals determining their alarm limits
bounded by a zonotope as well. When the residuals are outside of the zonotope that define the …

… It is worthwhile to note that the best algorithm for the evaluation of a zonotope in H-…
hyperplanes, our method for the generation of the zonotope in H-representation is linear in the output …

… on zonotopes consult for example [15, 17]. Our next theorem gives a sharp Blichfeldt-type
inequality for lattice zonotopes … 1.4 clearly also holds for these zonotopes, we will show that we …

… in the smallest zonotope as possible. This is realized easily by a zonotope defined by the …
Although the corresponding blue zonotope Z2 is strictly included in the red zonotope Z1, so …

… In this paper, we focus on the case when P is a zonotope. Let X be a finite list of vectors in …
is a convex polytope with integer vertices, called the zonotope of X. Zonotopes plays a crucial …

… ◦ It will be useful for our analysis to study the facet structure of zonotopes. The facets of
zonotopes are (p − 1)-dimensional polytopes that have a close relationship to their generators. …

… We also require the quadratic map of a zonotope, which is newly derived. … Using the
previously introduced operations on zonotopes and matrix zonotopes, we compute the set of states …