… The boundary reachability of the observer error system is analyzed via zonotope. Zonotope-based
iterative algorithms with and without the output integral are built to generate estimated …

… In this chapter, we generalize parallelepipeds to projections of cubes—zonotopes, a very
important family of polytopes. We give several theorems about zonotopes, with the goal of …

… zonotope is a specialization of the arithmetic Tutte polynomial introduced by Moci (2012) [16].
We derive some formulae for the volume and the number of integer points of the zonotope. …

… their result to zonotopes by interpreting their h∗-polynomials in terms of certain refined
descent statistics on permutations. From that we obtain that the h∗-polynomial of a zonotope is …

… special class of polytopes, the zonotopes, and show for these that there is no reduction
whatsoever; that is, we show that the flag f-vectors of Zonotopes satisfy only the affine relations …

… zonotope shape matrix. This paper proposes a time-varying parameter modeling … on
zonotope-ellipsoid double filtering technique. Considering the time-varying parameters, a zonotope …

… of zonotopes formula resembles the traditional diffusion step in the stochastic Kalman filter.
Our new zonotopes … We represent sets as zonotopes since they compactly represent high-…

… zonotope characterized by the fact that all its facets are parallel two-by-two.This m-zonotope …
We deduce the following expression of the volume of our zonotope ZðJÞ that we will denote …

… and the zonotope is a 2-cycle, and as such, is an integer multiple of the torus itself. … as
zonotopes. By the results in Chapter 3, we know (for two dimensions) that these zonotopes exactly …

… To every zonotope Z with face lattice F(Z) we can associate the lattice of flats L(Z): L(Z) := {aff
F − q : F ∈ F(Z) \ {∅},q ∈ F}, ordered by inclusion. Let L(Z)i be the rank i part of L(Z). …