Simulation of uncertain dynamic systems described by interval models: A survey

V Puig, A Stancu, J Quevedo - IFAC Proceedings Volumes, 2005 - Elsevier
In this paper, a survey of approaches to interval simulation of uncertain systems is presented.
The kind of uncertain systems considered are those described by a model with parameters …

[PDF][PDF] LOOMIS–WHITNEY'S INEQUALITY ABOUT MIXED BODY

S Lin, L Gangsong - Acta Mathematica Scientia, 2007 - manu45.magtech.com.cn
… The following result on the zonotope is also useful in the preceding parts. In fact, a zonotope
is a … A body in Kn being the limit (with respect to the Hausdorff metric) of zonotope is called a …

Convex Polytopes, by Branko Grünbaum, ((1967) written with the cooperation of VL Klee, M. Perles and GC Shephard; (2003) prepared by V. Kaibel, VL Klee and GM …

P McMullen - Combinatorics, Probability and Computing, 2005 - cambridge.org
… relationships between associated zonotopes, which the reviewer then further extended to
show that a zonotope tiles space by translation if and only if the associated zonotope does too. …

The expected convex hull trimmed regions of a sample

I Cascos - Computational Statistics, 2007 - Springer
Given a data set in the multivariate Euclidean space, we study regions of central points built
by averaging all their subsets with a fixed number of elements. The averaging of these sets …

[PDF][PDF] Diagnosis of uncertain linear systems: an interval approach

K Benothman, D Maquin, J Ragot… - International Journal of …, 2007 - academia.edu
… through successive integrations of the state equation, the idea is to over-approximate a
zonotope by a zonotope of lower order. Consequently, the SVO algorithm is structured as follows: …

[PDF][PDF] Roots of Ehrhart polynomials

M Henk, C Bey, JM Wills, A Schürmann - 2007 - myria.math.aegean.gr
… Let Z be a lattice zonotope. Then … Let Z be a lattice zonotope. Then …

Probability on Discrete Structures, edited by H. Kesten, Encyclopaedia of Mathematical Sciences, Vol. 110, Springer 2004, 351 pp., ISBN: 3-540-00845-4,€ 94.95/£ …

JE Steif - Combinatorics, Probability and Computing, 2005 - cambridge.org
… relationships between associated zonotopes, which the reviewer then further extended to
show that a zonotope tiles space by translation if and only if the associated zonotope does too. …

Quadrupolar projection of excluded-volume interactions in biaxial nematic liquid crystals

R Rosso, EG Virga - Physical Review E, 2006 - APS
… A zonotope is obtained by Minkowski addition of a certain number of segments. A
spherozonotope is obtained by Minkowski addition of a zonotope and a sphere. By expressing the …

[PDF][PDF] Modeling Motion

A Stillings - 2005 - cs.duke.edu
… Zhang propose using zonotopes as bounding volumes in [19]. Zonotopes are the Minkowski
… because optimal zonotopes can be easily formed, and the actual zonotope does not need to …

Sufficient enlargements of minimal volume for two-dimensional normed spaces

MI Ostrovskii - … Proceedings of the Cambridge Philosophical Society, 2004 - cambridge.org
… a zonotope (see [4, 12, 20 and 21] for basic facts on zonotopes). We consider zonotopes that
… with columns τi (i =1,...,k) and real numbers ai we consider the zonotope Z in Rd given by …