Safe Data-Driven Model Predictive Control of Systems with Complex Dynamics

I Mitsioni, P Tajvar, D Kragic, J Tumova, P Christian - 2021 - diva-portal.org
zonotope and G as the set of generators. Z.µ and ZG are used to refer to the corresponding
parameters of the zonotope … the zonotope as this is a valid combination of the zonotope

Safety Verification for Neural Networks Based on Set-boundary Analysis

Z Liang, D Ren, W Liu, J Wang, W Yang… - arXiv preprint arXiv …, 2022 - arxiv.org
… Here, we take zonotopes as abstract domains and compare the output reachable sets
computed by our set-boundary reachability method and the entire input set based method. The …

[HTML][HTML] Combining set propagation with finite element methods for time integration in transient solid mechanics problems

M Forets, DF Caporale, JMP Zerpa - Computers & Structures, 2022 - Elsevier
… of the state transition matrix acting on zonotopes. Their results are illustrated on the finite …
In general, the initial set Ω 0 from Proposition 1 is not a zonotope so we overapproximate it …

[PDF][PDF] Gaussian process based reachability analysis

K Wang - mascotnum2022.sciencesconf.org
… Set-propagation techniques that depend on ellipsoids, Taylor series method, zonotopes,
level sets and intervals and simulation-based techniques that depends on numerical solution to …

Automated Model Generation Including Variations for Formal Verification of Nonlinear Analog Circuits

M Rechmal-Lesse, GA Koroa… - 2020 18th IEEE …, 2020 - ieeexplore.ieee.org
With the advancements in analog/mixed-signal (AMS) systems and continuously shrinking
design sizes, there is an increased demand for reliable verification to ensure correct behavior. …

Techniques in equivariant Ehrhart theory

S Elia, D Kim, M Supina - arXiv preprint arXiv:2205.05900, 2022 - arxiv.org
Zonotopes are a family of polytopes which can be decomposed into parallelotopes, and …
nique to all zonotopes of the Type A root system, also known as graphic zonotopes. We expect …

[PDF][PDF] Spectral theory of Laplace Operators on chemical hypergraphs

R Mulas, D Zhang - arXiv preprint arXiv:2004.14671, 2020 - researchgate.net
… is generalized and it is shown that the classical Cheeger bounds can be generalized for
some classes of hypergraphs; it is shown that a geometric quantity used to study zonotopes

[HTML][HTML] Hypersimplicial subdivisions

JA Olarte, F Santos - Selecta Mathematica, 2022 - Springer
… Motivated by Postnikov’s study of postitive Grassmannians via plabic graphs and Galashin’s
connection of plabic graphs to slices of zonotopal tilings of 3-dimensional cyclic zonotopes, …

[HTML][HTML] Set-Valued Methods for Reachability Analysis and Estimationof Nonlinear Dynamical Systems

M Khajenejad - 2021 - search.proquest.com
… polytopes (equivalently, constrained zonotopes or zonotope bundles) for nonlinear bounded…
chapter bridges the gap between constrained zonotope (CZ)/zonotope bundle (ZB)based set…

Fault detection for Lipschitz nonlinear systems with restricted frequency-domain specifications

J Li, Z Wang, CK Ahn, Y Shen - IEEE Transactions on Systems …, 2020 - ieeexplore.ieee.org
… For better illustration, a zonotope and its smallest outer-box are depicted in Fig. 1. … Facing
this reality, a zonotope-based approach is used in this article to generate a dynamic threshold. …