… construction: Taylor models and zonotopes. Taylor models consist of … Zonotope based
reachability approaches, use a special … zonotopes, which are a generalizations of zonotopes and …

In this paper we study the fiber body, that is the extension of the notion of fiber polytopes for
more general convex bodies. After giving an overview of the properties of the fiber body, we …

… considered type of set for bound the state estimation uncertainty are known as zonotopes. …
a region in an Rnx space, defined by a zonotope. This region embeds all the possible states …

We show that every multilinear map between Euclidean spaces induces a unique, continuous,
Minkowski multilinear map of the corresponding real cones of zonoids. Applied to the …

Generalized permutahedra are a class of polytopes with many interesting combinatorial
subclasses. We introduce pruned inside-out polytopes, a generalization of inside-out polytopes …

… review and comparison of existing zonotope order reduction methods. Zonotopes are a class
of … of bounding a given zonotope 𝑍 within another zonotope of lower complexity 𝑍′ ⊃ 𝑍. …

This article presents a robust nonlinear model predictive control (NMPC) strategy for
constrained systems with piecewise constant references and bounded disturbances based on …

… estimation performance, the zonotope-based methods require large calculation to compute
higher dimensional zonotopes. Compared with zonotopes, the propagation and fusion of …

… Sets V ( i ) ( x ) ⊂ R s ( i = 1 , … , e ) are line segments, therefore V ( x ) ⊂ R s is a
zonotope–the Minkowski sum of point V ( 0 ) ( x ) and those line segments. A zonotope is a convex …

… In [4] the polytope of feasible fractional cycle offset variables is recognised to be a zonotope,
and several properties of PESP are derived via tilings of said zonotope. What is instead of …