… In the last section, we consider zonotopes, obtain a new proof of the decomposition of a
zonotope into its generating parallelotopes, and obtain a volume formula for Z(A). © 2010 …

… zonotopes is, that they are not closed under intersection, ie the intersection of two zonotopes
is not a zonotope … , such that the intersection of zonotopes with guard sets has to be over-…

… sets is a zonotope, but the order we define on affine sets is stronger than the inclusion of
the geometric concretization: it is equivalent to the inclusion of the zonotopes describing the …

… However, zonotopes are not closed under intersection leading to challenges … zonotope
bundles as the intersection of zonotopes (without explicitly computing the intersection). Zonotope …

… zonotopes. We choose an integration step τ = T/(N +1) and compute a sequence of zonotopes
… We do not detail how the first zonotope of the sequence, Ω0, is computed (see [7]). Then, …

… In this article, the parameter set is bounded with zonotopes, which include … based on
zonotopes was presented to deal with time-variant systems. This article shows that the zonotope …

This paper proposes a methodology for guaranteed state estimation of linear discrete-time
systems in the presence of bounded disturbances and noises. This aims at computing an …

This paper presents the problem of robust fault detection using unknown-input interval
observers. These observers face the robustness problem using two complementary strategies. …

… not a zonotope in general; the same is true for the intersection of two zonotopes. This paper
presents a solution to this problem by transforming the representation of a zonotope first into …

Static analysis by abstract interpretation [1] aims at automatically inferring properties on the
behaviour of programs. We focus here on a specific kind of numerical invariants: the set of …