… ALGORITHM BASED O1 ZO1OTOPES The aim of this section is to recall some definitions
and some properties of zonotopes and to recall a rather efficient and simple algorithm to …

… In general, the joint range of m affine forms is a zonotope in Rm, that is, a centrally … t ∈ T
with AA, we obtain as explained above a zonotope Z that contains P. To get a simpler enclosure …

… In this work we give a new enumeration showing that any four-dimensional parallelotope
is either a zonotope or the Minkowski sum of a zonotope with the regular 24-cell {3,4,3}. Each …

… effort can be drastically reduced by setting the zonotope order to one which results in 2n
vertices… of the Zonotope Z that span the reduced zonotope in a best way. The reduced zonotope …

… 2.1 Proof for zonotopes sums Zonotopes f-vectors are completely known. Since the sum
of two zonotopes is again a zonotope, it is possible to prove the following: …

… zonotopes is a positive zonotope, and that any positive affine projection of a positive zonotope
is another positive zonotope. As a … disturbance inputs characterized by positive zonotopes …

… Using zonotopes for external approximation of reach sets [19], [20] brings the benefit of a …
zonotope must first be converted to a polytope on which the required operations are performed. …

… of facets of the data based zonotopes and lift zonotopes. Moreover, interchanging the roles
of … To define the concepts of the zonotope and lift zonotope, we need the following notations. …

… Hilbert zonotope, and describe its role in our problem. In Section 5 we give a new theorem
which simplifies the current use of the zonotope … the use of the zonotope to compute universal …

… In this paper, a zonotope-based method to evaluate the admissibility of fault actuator … these
two zonotopes is used. The smallest centered interval vector containing the given zonotope X …