Embedded Reachability for Autonomous Racecar

NC Jewell - 2021 - ir.library.oregonstate.edu
… was spent projecting from n-dimensional zonotopes into the 2-dimensional polygons useful
… the target zonotope and thus the algorithm can be replicated across all N output zonotopes

Enclosing ellipsoid‐based reachable set estimation for discrete‐time singular systems

Z Zhang, Z Feng - … Journal of Robust and Nonlinear Control, 2022 - Wiley Online Library
… to reachable set estimation, such as zonotopes and ellipsoidal sets. Zonotopic technique …
In Reference 19, zonotopes are used to propose a set-based framework for state estimation …

Reachability of Chen-Fliess series: A Gradient Descent Approach*

IP Avellaneda, LAD Espinosa - 2022 58th Annual Allerton …, 2022 - ieeexplore.ieee.org
… ) that focuses on set-based observers and zonotopes that allow the use of Minkowski sums
to … Still, the analysis is performed over zonotopes and the reachable sets are conservative. …

[HTML][HTML] The facial weak order on hyperplane arrangements

A Dermenjian, C Hohlweg, T McConville… - Discrete & Computational …, 2022 - Springer
… related to the geometry of the corresponding zonotope. Using these equivalent descriptions,
… We are interested in the corresponding zonotope defined below. Details on zonotopes can …

Evaluating distributions of opportunities from behind a veil of ignorance: A robust approach

F Andreoli, M Faure, N Gravel, T Kundu - 2021 - halshs.archives-ouvertes.fr
… A quasi-ordering extended zonotope is a zonotope set that … - then the enlargement of the
zonotope is made by translations … ordered at all, then the zonotope is not enlarged and the test …

[PDF][PDF] A piecewise ellipsoidal reachable set estimation method for continuous bimodal piecewise affine systems

PTN Le Quang Thuana, S Baldib - arXiv preprint arXiv:2106.06776, 2021 - academia.edu
… as a zonotope, and we have tried a zonotope of order 40 (larger dashdotted line in Fig. 4)
and a zonotope of order 50 (smaller dash-dotted line in Fig. 4). For the zonotope of order 40, …

Sumset estimates in convex geometry

M Fradelizi, M Madiman, A Zvavitch - arXiv preprint arXiv:2206.01565, 2022 - arxiv.org
… By approximation, we may assume that B is a zonotope. Using the definition of mixed … for
the case of a zonotope. Indeed, let Zk = ∑ k i=1[0,ui] be a zonotope. Apply inequality (24) to the …

[PDF][PDF] ARCH-COMP20 category report: Continuous and hybrid systems with nonlinear dynamics

L Geretti, J Alexandre Dit Sandretto… - Proc. of the 7th …, 2020 - mediatum.ub.tum.de
zonotopes with a zonotope order of 20 and a time step size of 0.01 for µ = 1, and a zonotope
… Maximum zonotope order is set to 100, reachability analysis is carried out with an (absolute …

Latency-aware edge server for safe autonomous driving

M Adnan - 2021 - diva-portal.org
This thesis examines how a smart edge server, that communicates with autonomous vehicles
in an intersection, could contribute to the safety of autonomous driving. Safe path planning …

The curious case of integrator reach sets, Part I: Basic theory

S Haddad, A Halder - arXiv preprint arXiv:2102.11423, 2021 - arxiv.org
This is the first of a two part paper investigating the geometry of the integrator reach sets,
and the applications thereof. In this Part I, we establish that this compact convex set is …