A set-membership fault detection test with guaranteed robustness to parametric uncertainties in continuous time linear dynamical systems

C Combastel, SA Raka - IFAC Proceedings Volumes, 2009 - Elsevier
… This term is reduced to the membership of the origin 0 to a time varying domain which is
a zonotope in this paper. The center ck and the shape matrix Rk can be computed using (51)-(53…

Error bounds for surface area estimators based on Crofton's formula

M Kiderlen, D Meschenmoser - Image Analysis & Stereology, 2009 - ias-iss.org
… We define an associated zonotope Z (depending only on the projection directions and the
quadrature rule), and show that the relative error ̂S(A)/S(A) is bounded from below by the …

Design and optimization of a novel mri compatible wire-driven robot for prostate cryoablation

S Abdelaziz, L Esteveny… - International …, 2011 - asmedigitalcollection.asme.org
… We here propose the use of interval analysis to validate the conditions related to the
zonotopes. Our approach consists therefore in analyzing the distances di, i ∈ [1, k] above-…

Cyclotomic factors of the descent set polynomial

D Chebikin, R Ehrenborg, P Pylyavskyy… - Journal of Combinatorial …, 2009 - Elsevier
We introduce the notion of the descent set polynomial as an alternative way of encoding the
sizes of descent classes of permutations. Descent set polynomials exhibit interesting …

[PDF][PDF] Lattice Point Inequalities and Face Numbers of Polytopes in View of Central Symmetry

M Joswig - 2012 - researchgate.net
… On particular classes, like lattice zonotopes or ellipsoids, we show how even more … speak
about centrally symmetric lattice zonotopes. In general, every lattice zonotope Z ∈ Pn can be …

Transient stability analysis by reachable set computation

M Althoff, M Cvetković, M Ilić - 2012 3rd IEEE PES Innovative …, 2012 - ieeexplore.ieee.org
… which efficient algorithms exist when using zonotopes [15], [17] or support functions [16] as
representations of the reachable set. We use zonotopes since some operations required for …

Colored BPS pyramid partition functions, quivers and cluster transformations

R Eager, S Franco - Journal of High Energy Physics, 2012 - Springer
… Here we discuss the concept of a zonotope, which later becomes useful for analyzing the
space of Seiberg dual theories. In section 4, we introduce a field theoretic definition of …

[PDF][PDF] Sufficient enlargements in the study of projections in normed linear spaces

MI Ostrovskii - Indian Journal of Mathematics, 2008 - researchgate.net
… We consider zonotopes which are symmetric with respect to 0, such zonotopes can be …
with columns τi (i = 1,...,k) and real numbers ai we consider the zonotope Z in Rd given as …

Approximation on the Voronoi Cells of the A d Lattice

X Sun - Constructive Approximation, 2010 - Springer
… , nor can they be expressed as discrete zonotopes with only (d + 1) generators. … zonotopes.”
We will also use a “slide show” technique to calculate the cardinalities of discrete zonotopes

Sufficient enlargements of minimal volume for finite-dimensional normed linear spaces

MI Ostrovskii - Journal of Functional Analysis, 2008 - Elsevier
… a zonotope (see [3, 13,14,27,28] for basic facts on zonotopes). We consider zonotopes that
… with columns τi (i = 1,...,m) and real numbers ai we consider the zonotope Z in Rd given by …