Optimal Input Design for Active Fault Estimation of LPV Systems under Set-Theoretic Framework

J Tan, F Xu, B Min, X Wang… - 2021 American Control …, 2021 - ieeexplore.ieee.org
… fk is contained in a zonotope F = 〈fc,Mf 〉. The system input uk is bounded by a zonotope U
= 〈uc,… the Frobenius norm to characterize the size of a zonotope. Definition 4.1: [10] Given a …

[HTML][HTML] Reachable sets of classifiers and regression models:(non-) robustness analysis and robust training

AK Kopetzki, S Günnemann - Machine Learning, 2021 - Springer
… This linear transformation is computed exactly and efficiently for the zonotope-based set …
For this, we use zonotopes, as they are closed under linear transformation and their G-…

C. Notations for point and crystallographic groups

B Zhilinskii, M Leduc, M Le Bellac - Introduction to Louis Michel's …, 2021 - degruyter.com
… give notation used by Deza and Grishukhin for a zonotope contribution Z(U) which allows us
… -0 and a zonotope Z(U). Correspondence between notations for polytopes and for zonotope

Primitive point packing

A Deza, L Pournin - Mathematika, 2022 - Wiley Online Library
… In particular, we obtain an explicit expression for the largest possible diameter of a lattice
zonotope contained in the hypercube [ 0 , k ] d $[0,k]^d$ and, conjecturally of any lattice …

[HTML][HTML] Spectral theory of Laplace operators on oriented hypergraphs

R Mulas, D Zhang - Discrete mathematics, 2021 - Elsevier
… 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

Robust Fault Detection using Set-based Approaches for LPV Systems: Application to Autonomous Vehicles

S Zhang, V Puig, S Ifqir - IFAC-PapersOnLine, 2022 - Elsevier
This paper addresses the problem of robust fault detection for Linear Parameter Varying (LPV)
systems using set-based approaches. Two approaches are proposed, based respectively …

Reachable Tube Computation of Uncertain LTI Systems using Support Functions

M Fauré, J Cieslak, D Henry… - 2021 European …, 2021 - ieeexplore.ieee.org
… [19] and polynomial zonotopes [20]. This way of computing reachable sets is … Extensions
of zonotopes such as matrix zonotopes [23] and parameterized families of zonotopes [24] are …

Optimal spectra for double object‐colour solids

P Centore - Color Research & Application, 2021 - Wiley Online Library
… way of characterizing a zonotope's vertices, which will be used later in the article. … , and the
zonotope as a whole does not change shape much. In the limit, the zonotopes converge to a …

Duality Cascades and Parallelotopes

T Furukawa, S Moriyama, H Sasaki - arXiv preprint arXiv:2205.08039, 2022 - arxiv.org
… After introducing alternative descriptions for the fundamental domain known as zonotopes,
we clarify its mathematical structures along with the physical interpretations. Then, we can …

Tight frames and related geometric problems

G Ivanov - Canadian Mathematical Bulletin, 2021 - cambridge.org
… , we prove new results for the problem of maximization of the volume of zonotopes. … To get
more information about zonotopes, we refer the reader to Zong’s book [20, Chapter 2] and to […