… We measure this reduction for the case when the Newton polytopes are zonotopes
generated by 𝑛 line segments (where 𝑛 is the rank of the underlying lattice), and for the case of …

This work is concerned with the algorithmic reachability analysis of continuous-time linear
systems with constrained initial states and inputs. We propose an approach for computing an …

This paper proposes a methodology for the design of parity relations for dynamical systems
with multiplicative uncertainties. Instead of canceling uncertainties following the example of …

… A zonotope Z tiles n if and only if MZ is a binary matroid (where MZ is the linear dependence
… Beginning with a polyhedron, we form a related zonotope via the matrix of normal vectors. …

… CORA is an actively developed Matlab library centered around zonotopes and contains
implementations of zonotope bundles, matrix zonotopes, and polynomial zonotopes [1]. The ellip…

… The prediction step uses the previous state zonotope, the zonotopes of disturbances …
zonotope; the update step combines the prediction zonotope with a strip and the state zonotope at …

… the problem of CPS vulnerability analysis using zonotopes, which motivates our work. … if
the obtained zonotope is unbounded, a CPS is safe if the obtained zonotope is enclosed by a …

… with a decomposition of Dahmen–Micchelli spaces and lattice point counting in zonotopes.
… in a lattice zonotope. It would be interesting to find a connection with our convolution formula. …

… In Section 4 we introduce the curvy zonotopes. They are semi-… zonotopes as expected
values of particular exchangeable graph models. In Section 5 we show that the curvy zonotopes …

… are zonotopes generated … zonotope is any convex body that can be expressed as a Minkowski
sum of line segments. The shape Z appearing in the statement of Theorem 1 is a zonotope…