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 …

… of the observation intervals based on influence parameters and to the study of the complex
linear transfer of this type of uncertainty to estimated point positions yielding zonotopes. From …

… ) of the zonotope Z that quantifies the point imprecision. Figure 3 shows the zonotope and the
… Figure 3: Zonotopes describing the factual range of coordinate imprecision for the endpoint …

… zonotopes (which are figures of a space defined by all linear combinations of a given set of
vectors). We first define a graph which is a dual of tiling of a planar zonotope … zonotope. This …

… subdivision schemes with nonnegative finite masks supported on centered zonotopes is
solved. Roughly speaking, the subdivision schemes … For noncentered zonotopes we can prove …

… of zonotope. Observe that extreme points which lie inside or on the facets of the zonotope …
Thus MLSD is thus reduced to the enumeration of vertices of zonotope j . Now the problem …

… A)op is representable by a tiling of a generic zonotope by parallelepipeds. The low-dimensional
tilings of zonotopes by parallelepipeds have a special value as local models for physical …

… Moreover, we can formulate linear programming problems in terms of zonotope (the Minkowski
sum of line segments; see, eg, [16]), which will be discussed in Section 4. Zonotopes are …

… 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 …

… a minimum total length zonotope containing k assigned … zonotopes in R2 centered in the
origin are considered and a method to approximate a given zonotope by means of zonotopes …