… The reachable set usually can be described by ellipsoid, common polyhedron, zonotope and
so on. Very recently, the zonotope-based method was applied to design an IO for SSs in [25…

This paper proposes a novel finite-frequency domain actuator fault detection method for
discrete-time linear system. By considering disturbances are unkown but bounded by zonotopes…

In this paper, the control ability with time attributy for the linear continuous-time (LCT) systems
are defined and analyzed by the volume computing for the controllability region. Firstly, a …

… As they happen to be a specific type of zonotope, they articulate perfectly with the
zonotope bounding method that we propose to enclose in an optimal way the set of flowpipe …

… Lattice points in a zonotope … If Z is an integer zonotope generated by integer vectors, then
the coefficients … If Z is an integer zonotope generated by integer vectors, then the coefficients of i…

… from the inclusion of their zonotope representations. The zonotope inclusion criterion refines
(that … zonotopes that lie in the maximum dissimilarity zonotope and that include the similarity …

… By exploiting the geometric properties of Voronoi polytopes and zonotopes, we establish
the relationship between Voronoi splines and box splines which are used for a closed-form …

A quadrangulation on a closed surface is k-minimal if its shortest noncontractible cycle is of
length k and if any face contraction yields a noncontractible cycle of length less than k. We …

… We first focus on a unitary zonotope of codimension 1. One easily checks that such a
zonotope admits exactly two tilings. Let V = (v1,...,vd+1) be the sequence of vectors and let p0 be …

… For d = 2, the polytope Q is a zonotope and its generating measure is an estimator for the …
not be a zonotope, because all the faces of a zonotope are necessarily centrally symmetric. …