… 3, we establish the sufficient existence conditions for zonotopes to calculate the boundaries
of residual component generated by a set of UIOs. Then we present a fault diagnosis …

… We improve analysis efficiency through zonotope overapproximations of the nonlinear initial
sets constructed using interval arithmetic, as well as two abstraction-refinement techniques: (…

… Using these techniques, we present an alternative approach to localisation algorithms that
relies on the use of zonotopes to provide a guaranteed estimation of the states of the vehicle …

… A deterministic, guaranteed state estimator based on zonotopes is proposed in this work
for dealing with the available measurements. The state estimator is shown to be capable of …

… The estimation sets are mathematically characterised by zonotopes. The novelty of the …
As explained in Section 2, the intersection between zonotopes can be written as a zonotope…

… (Here, we use a 2-bounded set of zonotopes.) It then propagates A1 through the abstract
transformer of each layer, obtaining new shapes. Finally, it verifies that all points in A4 …

This paper investigates the fault estimation problem for discretetime switched systems.
Firstly, the sensor fault is regarded as an augmented state, and then the original system is …

… But, using zonotopes, basic set operations can be reduced to simple matrix calculations,
fact that has recently motivated the use of zonotopes for modeling the effect of uncertainties [10]. …

… We prove the second Voronoi conjecture on parallelohedra for zonotopes. We show that
for … copies of a zonotope Z there are d vectors connecting the centers of zonotopes with a …

This paper presents the mathematical and computational details which provide the basis of
the new methodology proposed in Dosi et al. 2013 to assess the level and the evolution of …