… central zonotope, γ(Cx ) and of a perturbation zonotope centered on 0, γ(Px ). Central zonotopes
… Perturbation zonotopes depend on perturbation symbols ηj which are created along the …

… Since the volume of each cube Qi1,...,id is simply given by vol(Qi1,...,id ) = |det(xi1 ,...,xid )|,
this leads to the following volume formula for zonotopes, which will play a crucial role in this …

… (AA), which works with zonotopes instead of intervals. Zonotopes are also widely used for
… , where an important operation is the geometric intersection of zonotopes with hyperplanes. …

Let X be a totally unimodular list of vectors in some lattice. Let B X be the box spline defined
by X. Its support is the zonotope Z(X). We show that any real-valued function defined on the …

This paper presents a set-membership approach based on zonotopes for differential-algebraic-equation
(DAE) systems with unknown-but-bounded disturbances and noise, which can …

… can be chosen to be a zonotope with six generators. (iii) If P is … case in which P is a zonotope
(see Section 2 for definitions). … for monotone paths on zonotopes of fixed dimension as well …

We study certain structural properties of fine zonotopal tilings, or cubillages, on cyclic
zonotopes $Z(n,d)$ of an arbitrary dimension $d$ and their relations to $(d-1)$-separated …

… The cyclic zonotope n, d is the zonotope in Rd generated by any ndistinct vectors of the form
… zonotope having an alternating oriented matroid, although we will use the cyclic zonotopes …

… is introduced by using the zonotope method. Based on the … In other words, the application
of the zonotope method on … infty \) observer and the zonotopes, the major contributions of …

This paper investigates the distributed fault detection problem for a class of discrete-time
multi-rate systems over sensor networks with an improved communication protocol, where both …