Realistic uncertainty measures for GPS observations

S Schön, H Kutterer - A Window on the Future of Geodesy, 2005 - Springer
… Finally, confidence ellipsoids and zonotopes are superposed to extended uncertainty … for
the simple case of a zonotope with 6 vertices. Geometrically the zonotope is decomposed in sec…

[PDF][PDF] Comparison of reachability methods for uncertain linear time-invariant systems.

IB Makhlouf, P Hänsch, S Kowalewski - ECC, 2013 - nt.ntnu.no
… We introduce our implementation based on zonotopes and … , the number of generators for
zonotopes or directions for support … We begin with our approach based on zonotopes [4], [11]. …

A state bounding algorithm for linear systems with bounded input and bounded slew-rate

A Lalami, C Combastel - 2007 European Control Conference …, 2007 - ieeexplore.ieee.org
… ALGORITHM BASED O1 ZO1OTOPES The aim of this section is to recall some definitions
and some properties of zonotopes and to recall a rather efficient and simple algorithm to …

A Combinatorial Perspective on the Optimization of Shallow ReLU Networks

M Matena, C Raffel - arXiv preprint arXiv:2210.00176, 2022 - arxiv.org
… combinatoric object known as a zonotope with its vertex set … Later we discuss methods of
zonotope vertex selection and … search heuristic over zonotope vertices and demonstrate that …

Sampled Switched Systems

L Fribourg, R Soulat - Control of Switching Systems by …, 2013 - Wiley Online Library
… using the notion of “zonotope”. Zonotopes are a data structure which is very useful for
representing and manipulating efficiently convex polytopes. Zonotopes allow to compute easily …

Automatic modeling of transistor level circuits by hybrid systems with parameter variable matrices

A Tarraf, L Hedrich - 2019 16th International Conference on …, 2019 - ieeexplore.ieee.org
Model abstraction of transistor-level circuits, while preserving an accurate behavior, is still
an open problem. In this paper an approach is presented that automatically generates a …

Piles of cubes, monotone path polytopes, and hyperplane arrangements

CA Athanasiadis - Discrete & Computational Geometry, 1999 - Springer
… The permutahedron is the zonotope polar to the braid arrangement. We show how the
zonotopes polar to the cones of certain deformations of the braid arrangement can be realized as …

A polynomial matrix inequality approach for zonotopic set-membership estimation of multivariable systems

VTH Le, C Stoica, D Dumur, T Alamo… - … on Control & …, 2012 - ieeexplore.ieee.org
… A centered zonotope is a zonotope whose center is the origin… zonotopes is also a zonotope
defined by Z = Z1 ⊕ Z2 = [H1 … Property 2: The image of a centered zonotope Z1 = H1Bm1 ∈ …

Safety control of robots under computed torque control using reachable sets

A Pereira, M Althoff - 2015 IEEE International Conference on …, 2015 - ieeexplore.ieee.org
… to Zlink to obtain the zonotope in Cartesian space … zonotope is a zonotope and a matrix of
symmetric intervals multiplied by a zonotope can be overapproximated with another zonotope

Extended abstract for structure results for multiple tilings in 3D

N Gravin, MN Kolountzakis, S Robins… - The Seventh European …, 2013 - Springer
zonotope, all of its kdimensional faces are centrally symmetric, for 1 ≤ k ≤ d. For example,
the zonotopes in R2 are … We shall say that a polytope P ⊆ R3 is a two-flat zonotope if P is the …