This paper presents a new approach to guaranteed state estimation for non-linear discrete-time
systems with a bounded description of noise and parameters. The main result is an …

… Zonotopes are centrally symmetric polytopes with a very special structure: they are the …
optimal zonotopes enclosing given set of points or other geometry. We also show how zonotopes …

… hull of two zonotopes is generally not a zonotope, hence, we can not apply directly this
method to our problem. For instance, we can replace the convex hull by the smallest zonotope …

… zonotopes [7], which correspond to a particular class of polytopes. More precisely, a zonotope
is … a step performing a reduction of the zonotope complexity, in addition to a prediction step …

… In the first part, we discuss zonotopes and fine zonotopal tilings (cubillages) of zonotopes
and introduce various useful objects in a cubillage: pies, tunnels, and so on. We also introduce …

… 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 …

… a zonotope, which we refer to as the lifted zonotope for Z . This result permits some algorithms
developed for standard zonotopes to be applied to constrained zonotopes. … lifted zonotope …

… 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-…

… Abstract: We use Mathematica to construct zonotopes and display zonohedra. *Work
supported in part by NSF grant CCR-9258355 and by matching funds from Xerox corp …

… In this paper, the estimated domains are represented by zonotopes. A zonotope is a
particular polytope defined as the linear image of a unit interval vector (ie unit hypercube). Some …