… zonotopes. When the system is in the i-th mode, residual … zonotopes that can contain the
origin. Second, it is not necessary to guarantee, in a mode, that all residualbounding zonotopes …

… 𝑚-zonotope in R 𝑛 can be defined as the linear image of a 𝑚-dimensional hypercube in R 𝑛
, where 𝑚 is the order of the zonotope … related to zonotopes), 𝑚 (the order of zonotopes), and …

… zonotopes and invariant sets. Section III states the plant model and interval observers. Section
IV proposes the residual zonotopes and their bounding zonotopes. … of residual zonotopes, …

In this paper, a fault detection and isolation (FDI) approach using a bank of interval observers
is developed. From the methodological point of view, a bank of interval observers is …

… In this work, all uncertainties are described by uniform PDFs with finite support on zonotopes,
so that the noises are bounded in the deterministic sense. As in Scott et al. (2013a), these …

… To simplify the notation, we will sometimes write a zonotope as a matrix, where the first … the
generators of the zonotope. Figure 1 shows several examples of zonotopes together with their …

… zonotope center (to which a zonotope is centrally symmetric) and the g (i) ∈ Rn are called
generators. The order of a zonotope … Figure 7 illustrates a zonotope being constructed step-by-…

… Zonotopes form a class of polytopic sets implicitly represented by matrices and leading to
efficient set computations. This class is closed under Minkowski sum ⊕ (computed as a matrix …

… the solid and an object known as a zonotope. The zonotope is defined as the Minkowski
sum of the set of segments. A zonotope is usually sufficient for our target applications in …

… Additionally, considering the balance among the expressional concision, computational
precision and complexity, this paper uses zonotopes as the containment set to propagate the …