Discriminantal arrangements, fiber polytopes and formality

MM Bayer, KA Brandt - Journal of Algebraic Combinatorics, 1997 - Springer
… This paper shows their construction is dual to the fiber zonotope construction of Billera
and Sturmfels, and thus makes sense even when the base arrangement is not generic. The …

Synthesizing invariants: a constraint programming approach based on zonotopic abstraction

B Kabi - 2020 - tel.archives-ouvertes.fr
… We introduce a novel splitting algorithm based on tiling zonotopes by subzonotopes and …
This algorithm also shows a good compromise by its use in combination with zonotopes as …

[PDF][PDF] Zonotope hit-and-run for efficient sampling from projection DPPs

G Gautier, R Bardenet, M Valko - hal.inria.fr
… feature matrix associated to the projection DPP, a convex body also called a zonotope. This
zonotope can be partitioned into tiles that uniquely correspond to DPP realizations, and the …

Set-Based State Estimation With Probabilistic Consistency Guarantee Under Epistemic Uncertainty

S Li, T Stouraitis, M Gienger… - IEEE Robotics and …, 2022 - ieeexplore.ieee.org
… is bounded by a zonotope obtained by linearly transforming ˆXt−1. Then, by Minkowskisumming
this transformed zonotope and Rd( ˆXt−1,ut−1), we obtain another zonotope, denoted by …

Ehrhart quasi-polynomials of almost integral polytopes

C de Vries, M Yoshinaga - arXiv preprint arXiv:2108.11132, 2021 - arxiv.org
… In particular, we prove that lattice zonotopes and centrally symmetric lattice polytopes are …
This section deals with a characterization for zonotopes in a similar way to Theorem 4.2. More …

Characterization of parallel manipulator available wrench set facets

M Gouttefarde, S Krut - Advances in robot kinematics: motion in man and …, 2010 - Springer
… In a given configuration, this set is known to be a convex polytope and, recently, it has been
pointed out that it is in fact a particular type of convex polytope called a zonotope. This paper …

Reachability computation of low-order models for the safety verification of high-order road vehicle models

M Althoff, JM Dolan - 2012 American Control Conference (ACC), 2012 - ieeexplore.ieee.org
… The method applied in this work is based on [5], which uses zonotopes as a set … abstracts
to linear systems, is efficient, since zonotopes show great performance for linear systems [10]. …

Robust fault detection of linear systems using a computationally efficient set-membership method

SM Tabatabaeipour, T Bak - 2014 IEEE Conference on Control …, 2014 - ieeexplore.ieee.org
… results with two zonotope-based set-membership methods. … To get the same precision by
using zonotopes the zonotopes … -space based SM method using zonotopes is used for fault …

[PDF][PDF] Algebraic techniques in design of experiments

H Maruri, H Wynn, H Maruri - researchgate.net
… Weighted orders and zonotopes 3. The fan of a design a A column selection algorithm b
Hilbert zonotope 4. Linear aberration a Examples b Bounds for minimal aberration c …

Improved fault detection and isolation strategy using a bank of interval observers

F Xu, V Puig, C Ocampo-Martinez, F Stoican… - IFAC Proceedings …, 2014 - Elsevier
zonotopes. When the system is in the i-th mode, residual … zonotopes that can contain the
origin. Second, it is not necessary to guarantee, in a mode, that all residualbounding zonotopes