Non-variational eigenvalues of graph -Laplacians

D Zhang - arXiv preprint arXiv:2110.06054, 2021 - arxiv.org
… A zonotope is the Minkowski summation of finitely many segments. For convenience, we …
The last equality depends on the fact that a convex polytope is a zonotope if and only if every …

[HTML][HTML] Recursive zonotopic set-membership approach for system-level prognostics with application to linear parameter-varying systems

A Al-Mohamad, V Puig, G Hoblos - ISA transactions, 2022 - Elsevier
A robust recursive zonotopic set-membership approach for remaining useful life forecasting
with application to linear parameter-varying systems is proposed in this paper. The proposed …

[HTML][HTML] Higher secondary polytopes and regular plabic graphs

P Galashin, A Postnikov, L Williams - Advances in Mathematics, 2022 - Elsevier
… Since flips of regular fine zonotopal tilings correspond to the edges of the fiber zonotope
Image 13 , we define the level of an edge of Image 13 to be the level of the corresponding flip. …

An exploration of the performances achievable by combining unsupervised background subtraction algorithms

S Piérard, M Braham, M Van Droogenbroeck - arXiv preprint arXiv …, 2022 - arxiv.org
… 2n , that is a zonotope. We discovered an efficient way to compute the vertices on its contour,
zonotope per selection and compute the contour of the union of all these zonotopes. …

[PDF][PDF] The polytope algebra of generalized permutahedra

J Bastidas - Algebraic Combinatorics, 2021 - researchgate.net
… To achieve this goal, we take a more general approach and study deformations of an arbitrary
zonotope. We then specialize our results to deformations Coxeter permutahedra of type A …

[HTML][HTML] Automated abstraction of nonlinear analog circuits to reliable set-valued models with reduced overapproximation

M Rechmal-Lesse, YG Adhisantoso, GA Koroa… - Microelectronics …, 2021 - Elsevier
… Because reachability analysis is performed with sets represented as zonotopes or intervals,
an adaptation of the affine forms is necessary. The affine form is converted to the zonotope r …

[HTML][HTML] Varying Zonotopic tube RMPC with switching logic for lateral path tracking of autonomous vehicle

H Zheng, L Zheng, Y Li, K Wang, Z Zhang… - Journal of the Franklin …, 2022 - Elsevier
… In this paper, all defined sets are represented by zonotopes, and the main reasons are … The
intersection of zonotopes is obtained by converting zonotopes to constrained zonotopes [62] …

[PDF][PDF] Robust Economic Model Predictive Control of Water Transport Networks

K Boutros, V Puig, F Nejjari - 2020 28th Mediterranean …, 2020 - ieeexplore.ieee.org
… The purpose of this paper is to only illustrate the ability of a set-based method (zonotope)
of robust MPC to ensure suitable controller performance under demand uncertainties, hence …

[HTML][HTML] Parameter synthesis of polynomial dynamical systems

A Casagrande, T Dang, L Dorigo, T Dreossi… - Information and …, 2022 - Elsevier
zonotope and g 1 , … , g m are its generators. This similarity is not surprising as the parallelotopes
in R n are special kinds of zonotopeszonotope definition which refers to the zonotope

PaRoT: A practical framework for robust deep neural network training

EW Ayers, F Eiras, M Hawasly, I Whiteside - NASA Formal Methods …, 2020 - Springer
… Here we generalize the work in [34] to find optimal hybrid zonotopes for a given activation
function. Since activations are one-dimensional (1D) and act on each dimension separately, …