In this work we discuss a conjecture of Viterbo relating the symplectic capacity of a convex
body and its volume. The conjecture states that among all 2n-dimensional convex bodies with …

В XIX веке в классических работах ЕС Федорова1 и Г. Минковского2 были заложены
начала теории параллелоэдров. Особо значительное продвижение в этой теории …

… Geometrically the problem corresponds to the evaluation of the extreme points of a zonotope
with n generating vectors in m−1 dimensions and can be solved by a variety of techniques. …

The purpose of this note is to highlight similarities and differences between two alternative
methodologies for feedback control design under constraints on the McMillan degree of the …

Real time control (RTC) of sewer networks plays a fundamental role in the management of
hydrological systems, both in the urban water cycle, as well as in the natural water cycle. An …

… It would be interesting to see whether it has interesting additional properties in the context
of zonotopes and also to find out what other graphs G provide a connection to polytopes. …

… d is isomorphic to the graph of a (d + 1)-dimensional zonotope. The characterization above
is a sort of the zonotope analogue of Steinitz’ Theorem (Theorem 0.9) for 3-polytopes. But it is …

These notes describe a computational framework for modeling, controlling, and analyzing
hybrid systems in discrete-time. We describe three classes of hybrid models in detail: discrete …

… Nicht unerwähnt lassen wollen wir die Zonotope von Kühn [37]. Alle genannten Methoden
schließen die Lösungsmenge in konvexe Mengen ein, was aber spätestens bei nicht-…

… The domain Pθ(λ, θc) = µθc,M(λ)(Hq) is a parallelotope (called also a zonotope). In the rest
of the paper, for sake of simplicity, the matrix M(λ) is supposed having the following structure: …