… In this theory, the connection with lattice points in the zonotope remains valid even if X is
not … , it is natural for us to work with vectors as we are also interested in the zonotope Z ( X ) . …

This work is concerned with the algorithmic reachability analysis of linear systems with
constrained initial states and inputs. In this paper, we present a new approach for the computation …

… For d ≥ 3, there exists an incremental algorithm to generate all vertices of a zonotope given
… From the zonotope construction to the Minkowski addition of convex polytopes. Journal of …

… 3 its unit ball is revealed as special zonotope. Section 4 focusses on geometric properties
of this zonotope like the number of k-dimensional faces in Sect. 4.1 and its volume in Sect. 4.2. …

This paper addresses the determination of the force distribution in the cables of a redundantly
actuated cable-driven parallel mechanism. First, the static model of cable-driven parallel …

… We apply this technique to the classical zonotope shellings. A new combinatorial
stratification of the Salvetti complex allows us to paste such matchings and describe a class of …

… Sets that appear as finite Minkowski sums of segments are called zonotopes. Zonoids are
limits of zonotopes in the Hausdorff metric, ie they can be represented as expectations of …

… highdimensional dual zonotopes that have 2-… zonotope with n zones whose projection to
the plane has Θ(n(d−1)/2) vertices. In Section 6.3 we construct another d-dimensional zonotope …

… Higher dimensional zonotopes in Rd with d > 3 are possible … diamond adinkras, four color
zonotope must therefore have “… Lastly, the second row of a four dimensional zonotope cannot …

Description This dissertation presents some new approaches to addressing the main issues
encountered by practitioners in the implementation of linear model predictive control (MPC), …