Illumination of Convex Bodies with Symmetries in Dimensions 3 and 4

WR Sun - 2022 - era.library.ualberta.ca
T (B) of directions/“light sources' that illuminate the boundary of a convex body B, which is
not the affine image of a cube, is strictly less than 2". The conjecture in most cases is widely …

The equivariant Ehrhart theory of the permutahedron

F Ardila, M Supina, A Vindas-Meléndez - Proceedings of the American …, 2020 - ams.org
Zonotopes. Let V be a finite set of vectors in Rn. The zonotope generated by V , denoted Z(V …
Zonotopes have a combinatorial decomposition that is useful when calculating volumes and …

[HTML][HTML] Adaptive event based fault detection

MA Sid - European Journal of Control, 2020 - Elsevier
In this paper, we consider the design of an adaptive event triggering mechanism for fault
detection aim. First, the synthesis of fault detection filter under any event triggering mechanism …

[BOOK][B] Filter Design for System Modeling, State Estimation and Fault Diagnosis

Z Wang, Y Wang, Z Ji - 2022 - books.google.com
zonotope set-membership estimation algorithm, it is necessary to calculate the intersection
of the zonotope … to calculate the zonotope containing the intersection of the zonotope and the …

Adaptive parameter tuning for reachability analysis of linear systems

M Wetzlinger, N Kochdumper… - 2020 59th IEEE …, 2020 - ieeexplore.ieee.org
… initial set is not a zonotope. Since we only use zonotopes as initial sets, we only use them: …
We also observe that the zonotope order ρ reaches a higher maximum for smaller values of …

Compositional Synthesis for Linear Systems via Convex Optimization of Assume-Guarantee Contracts

K Ghasemi, S Sadraddini, C Belta - arXiv preprint arXiv:2208.01701, 2022 - arxiv.org
zonotope-based controllers in this paper are loosely based on disturbance feedback policies.
By leveraging the properties of zonotopes and of zonotope operations, such as zonotope

[HTML][HTML] Intersection bodies of polytopes

K Berlow, MC Brandenburg, C Meroni… - Beiträge zur Algebra und …, 2022 - Springer
… We will call this zonotope the zonotope associated to P. As will be clarified later in Remark
5.9, the dual body of Z(P) plays an important role in the visualization and the combinatorics of …

Abstract Echo State Networks

CW Senn, I Kumazawa - IAPR Workshop on Artificial Neural Networks in …, 2020 - Springer
… Next to the box- and zonotope-domain used by AI\(^2\), they also introduced a new hybrid
zonotope domain placed in between the box and zonotope domain regarding speed and …

[PDF][PDF] Evaluating allocations of opportunities

F Andreoli, M Faure, N Gravel, T Kundu - 2022 - asset.soc.uoc.gr
… A quasi-ordering extended zonotope is a zonotope that has been enlarged with translations
… While the quasi-ordering extended zonotope inclusion test is theoretically implementable …

[HTML][HTML] Hyperplane Arrangements in polymake

L Kastner, M Panizzut - International Congress on Mathematical Software, 2020 - Springer
… in real space is linked to zonotopes. Each arrangement endows the support space with a
fan structure which is the normal fan of a zonotope. Each hyperplane subdivides the space in …