[HTML][HTML] Zonotopes whose cellular strings are all coherent
R Edman, P Jiradilok, G Liu, T McConville - European Journal of …, 2021 - Elsevier
… 1.1 where P is a zonotope and Q is 1-dimensional. A zonotope with n zones is the image
of an n -dimensional cube under a linear map. To any zonotope with a distinguished linear …
of an n -dimensional cube under a linear map. To any zonotope with a distinguished linear …
Zonotope-based interval estimation for 2-D FMLSS systems using an event-triggered mechanism
This study considers the problem of interval estimation for event-triggered two-dimensional (2-D)
systems as expressed by the Fornasini-Marchesini local state-space (FMLSS) model. In …
systems as expressed by the Fornasini-Marchesini local state-space (FMLSS) model. In …
Verification of piecewise deep neural networks: a star set approach with zonotope pre-filter
… is equipped with an outer-zonotope (a zonotope over-approximation of … This zonotope
pre-filtering step reduces significantly the … other recent zonotope and abstract domain approaches. …
pre-filtering step reduces significantly the … other recent zonotope and abstract domain approaches. …
Lattice zonotopes of degree 2
M Beck, E Janssen, K Jochemko - arXiv preprint arXiv:2204.13036, 2022 - arxiv.org
… zonotope is the Minkowski (pointwise) sum of line segments. We classify all Ehrhart polynomials
of lattice zonotopes … a characterization of all $3$-dimensional zonotopes of degree $2$. …
of lattice zonotopes … a characterization of all $3$-dimensional zonotopes of degree $2$. …
Zonotope and Gaussian Kalman filters based state estimation algorithm for linear system with dual noise term
Y Zhan, Z Wang, Y Wang, JH Park… - IET Control Theory & …, 2022 - Wiley Online Library
To solve the problem of state estimation for systems with dual noise terms, a zonotope and
Gaussian Kalman filters based state estimation algorithm is proposed. A state estimator is …
Gaussian Kalman filters based state estimation algorithm is proposed. A state estimator is …
Scalable Zonotope-Ellipsoid Conversions using the Euclidean Zonotope Norm
V Gaßmann, M Althoff - 2020 American Control Conference …, 2020 - ieeexplore.ieee.org
… a zonotope, we investigate approximations based on the maximum and minimum zonotope
norm… We provide new methods for conversions between zonotopes and ellipsoids for all four …
norm… We provide new methods for conversions between zonotopes and ellipsoids for all four …
The asymptotic number of lattice zonotopes
O Bodini, T Buffière - arXiv preprint arXiv:2106.01005, 2021 - arxiv.org
… zonotopes. In particular, we provide their average asymptotic diameter when n goes to infinity.
A zonotope … More particularly, a lattice zonotope Z (or integral zonotope) is a polytope for …
A zonotope … More particularly, a lattice zonotope Z (or integral zonotope) is a polytope for …
Higher secondary polytopes for two-dimensional zonotopes
E Bullock, K Gravel - arXiv preprint arXiv:2011.01162, 2020 - arxiv.org
… For the whole subsection, we fix some zonotope ZV and when will refer to tilings of this
zonotope without specifying the zonotope ZV explicitly. We will make use of two particular tilings. …
zonotope without specifying the zonotope ZV explicitly. We will make use of two particular tilings. …
Mosaic Zonotope Shadow Matching for Risk-Aware Autonomous Localization in Harsh Urban Environments
D Neamati, S Bhamidipati, G Gao - arXiv preprint arXiv:2205.10223, 2022 - arxiv.org
… set-valued localization with computationally efficient zonotope set representations. While
existing … We extend our prior work to propose Mosaic Zonotope Shadow Matching (MZSM) that …
existing … We extend our prior work to propose Mosaic Zonotope Shadow Matching (MZSM) that …
[HTML][HTML] Functional sets with typed symbols: Mixed zonotopes and Polynotopes for hybrid nonlinear reachability and filtering
C Combastel - Automatica, 2022 - Elsevier
Verification and synthesis of Cyber–Physical Systems (CPS) are challenging and still raise
numerous issues so far. In this paper, based on a new concept of mixed sets defined as …
numerous issues so far. In this paper, based on a new concept of mixed sets defined as …