Primitive zonotopes arise naturally in various research areas, such as discrete geometry,
combinatorial optimization, and theoretical physics. We provide geometric and combinatorial …

Zonotopes are a rich and fascinating family of polytopes, with connections to many areas of
mathematics. In this article we provide a brief survey of classical and recent results related to …

… This comes from an implicit break of some dependency links between agents, which motivates
the introduction of symbolic zonotopes as proposed in this paper. Also, note that online …

Electrical smart grids are complex MIMO systems whose operation can be noticeably affected
by the presence of uncertainties such as load demand uncertainty. In this paper, based on …

… Their effect is addressed using an interval state observation method based on zonotope …
zonotopes are used to bound the set of uncertain estimated sets. Let us introduce zonotopes…

In this paper, a leak detection, isolation and estimation methodology in pressurized water
pipe networks is proposed. The methodology is based on computing residuals which are …

The distribution of d commodities among n individuals is described by an n×d row stochastic
matrix. We present a geometric approach to order such matrices. For a row stochastic matrix …

… zonotopes. Deformations of the classical permutahedron (which is the graphical zonotope
of … We provide an irredundant description of the deformation cone of the graphical zonotope …

… Finally, we give a combinatorial interpretation of lattice points in the zonotope Z; by
passing to dilations we obtain a new derivation of Stanley’s formula linking the Ehrhart …

… methods to reduce reachable set complexity, as hybrid zonotopes may be able to leverage
approximation methods developed for zonotopes and constrained zonotopes [14], [24]. Using …