… (2021), for which we computed the reachable set using both zonotopes (blue) and polynomial
zonotopes (cyan). This comparison clearly shows the superiority of our novel approach. …

… using zonotope techniques due to its geometrical flexibility and the reduced complexity [12].
Fault detection observer method using zonotope … 2, we can compute the error zonotope ed …

… zonotope of the complete graph or as the nestohedron of the complete building set. A graphical
zonotope … of ZG is a zonotope, which is the graphical zonotope of a subgraph of G up to …

… Additionally, NNV supports over-approximate analysis for nonlinear plant models by
combining the star set analysis used for FFNNs with the zonotope-based analysis for nonlinear …

… In this section, Problem 1 is addressed, assuming that the initial set is a zonotope bundle
(Lemma 1) or a constraint zonotope (Lemma 2). The strategy is defined below, however based …

… In this chapter, we investigate state estimation approaches based on zonotopes for descriptor
system (2.1). We propose two set-based approaches to use zonotope bounding uncertain …

… We therefore use Taylor models or polynomial zonotopes for representing reachable sets,
which allows us to combine our approach with many different reachability algorithms for …

… Finally in Section 4 we investigate the zonotope approach in production theory proposed
in [Hil] (1981), we generalize the Gini volume introduced in [DGMS] (2016) and we present a …

… zonotopes are no larger than the number of edge directions of the … zonotope is the Minkowski
sum of a set of edge directions. In the following, we will denote by Z(v1,...,vm) the zonotope …

This paper considers the design of optimal gain of set-value observer for robust fault
detection (FD) from a new perspective. Set-based robust FD can be implemented by real-timely …