[HTML][HTML] Polybasic polyhedra: structure of polyhedra with edge vectors of support size at most 2

S Fujishige, K Makino, T Takabatake… - Discrete …, 2004 - Elsevier
… For a polybasic zonotope P(D,u) we can easily compute(3.6) h(p)= max {<p,y>|y∈P(D,u)}
for each coefficient vector p∈ R V . We can also easily show that the support function h is …

[HTML][HTML] On the structure of the tight-span of a totally split-decomposable metric

KT Huber, JH Koolen, V Moulton - European Journal of Combinatorics, 2006 - Elsevier
… As a consequence we prove that the cells in the tight-span of a totally split-decomposable
metric are zonotopes that are polytope isomorphic to either hypercubes or rhombic …

[PDF][PDF] Fault detection of uncertain dynamic systems

O Adrot, JM Flaus - Complex System Intelligence and Modern …, 2004 - academia.edu
This paper deals with fault detection methods taking model uncertainties into account. It
focuses on dynamic and structured uncertain models, where parameter uncertainties are …

Mixed fibre polytopes

P McMullen - Discrete & Computational Geometry, 2004 - Springer
… Finally, applications are given to the mixed polytopes of Schneider [19] and to the fibre
polytope of a zonotope; the latter is identified as the projection body of the associated zonotope. …

[BOOK][B] Computationally reliable approaches of contractive MPC for discrete-time systems

J Wan - 2007 - dugi-doc.udg.edu
… Classical interval analysis is extended to zonotopes in geometry for designing a terminal
control invariant set in the dual-mode approach of MPC. It is also extended to modal intervals in …

Interval bisection method for control allocation

M Demenkov - IFAC Proceedings Volumes, 2007 - Elsevier
… In (Ziegler, 1995) we can find the definition of a zonotope: it is the image of a cube under an
affine projection. Zonotopes are … From (3) we conclude that our APS is exactly a zonotope. …

Between-Group Pigou-Dalton Transfers

S Mussard - 2007 - liser.elsevierpure.com
This paper introduces the concept of Pigou-Dalton transfers between populations of income
receivers. Gini's mean difference and Dagum's Gini index between populations are …

[PDF][PDF] A note on the minimum number of edge-directions of a convex polytope

S Onn, R Pinchasi - Journal of Combinatorial Theory, Series A, 2004 - ie.technion.ac.il
… Keywords: Polytope; Zonotope; Convex polytope; Edge; Edge direction; … which is the
zonotope generated by m points on the moment curve in Rd … cubical d-zonotope with m zones. …

Multidimensional inequality with variable population size

E Savaglio - Economic Theory, 2006 - Springer
… a zonotope, ie the Minkowski sum of finitely many line segments (see Webster [17]). The
inclusion of Lorenz zonotopes … The relation between the Lorenz (Koshevoy’s) zonotope and the …

On the connection between the projection and the extension of a parallelotope

ÁG Horváth - Monatshefte für Mathematik, 2007 - Springer
This paper presents a result concerning the connection between the parallel projection P v,H
of a parallelotope P along the direction v (into a transversal hyperplane H) and the …