A polyhedral proof of the matrix tree theorem
A Dall, J Pfeifle - arXiv preprint arXiv:1404.3876, 2014 - arxiv.org
… zonotopes generated by the columns of the matrices M and L and proving that the volumes
of these two zonotopes … Then the volume of the zonotope Z(M), the volume of the zonotope Z(…
of these two zonotopes … Then the volume of the zonotope Z(M), the volume of the zonotope Z(…
Active fault diagnosis using moving horizon input design
DM Raimondo, RD Braatz… - 2013 European Control …, 2013 - ieeexplore.ieee.org
… Zonotopes The methods in this article involve computations with zonotopes, which are …
In generator representation, a zonotope Z is prescribed by its center c ∈ Rn and generators …
In generator representation, a zonotope Z is prescribed by its center c ∈ Rn and generators …
[PDF][PDF] CUBE SLICES THAT ARE NOT ZONOIDS
R Anantharaman - 2018 - researchgate.net
… cube slice is a zonoid (zonotope). We also give nontrivial examples in which the slice is a
zonoid; let H : ax + y + z+t=0 with a>1. If a ≥ 3, the slice is a zonotope. Otherwise it has faces …
zonoid; let H : ax + y + z+t=0 with a>1. If a ≥ 3, the slice is a zonotope. Otherwise it has faces …
[HTML][HTML] Ethically robust comparisons of bidimensional distributions with an ordinal attribute
N Gravel, P Moyes - Journal of Economic Theory, 2012 - Elsevier
… The third route is followed by Koshevoy [34], who suggests the use of the Lorenz zonotope
… – the Lorenz zonotope of the former distribution is included in the Lorenz zonotope of the …
… – the Lorenz zonotope of the former distribution is included in the Lorenz zonotope of the …
Contingency-constrained economic dispatch with safe reinforcement learning
M Eichelbeck, H Markgraf, M Althoff - arXiv preprint arXiv:2205.06212, 2022 - arxiv.org
… zonotopes, which have a polynomial complexity with respect to the system dimension for
all required operations [19, Tab. 1]. A constrained zonotope is generally defined as [20, Eq. 9] …
all required operations [19, Tab. 1]. A constrained zonotope is generally defined as [20, Eq. 9] …
Compositional transient stability analysis of power systems via the computation of reachable sets
… zonotopes in particular due to their computational advantages. For example, the interval hull
of zonotopes … Moreover, zonotopes offer an excellent compromise between accuracy and …
of zonotopes … Moreover, zonotopes offer an excellent compromise between accuracy and …
Zonotopal algebra
… Zonotopes exhibit special … between zonotopes and hyperplane arrangements is rich,
and includes intriguing connections between the different tilings of the zonotope into sub-zonotopes …
and includes intriguing connections between the different tilings of the zonotope into sub-zonotopes …
[PDF][PDF] Helical structure of space-filling mosaics based on 3D models of the 5D and 6D cubes
L Vörös - Proceedings of the 9th International Conference on …, 2014 - researchgate.net
Our 3-dimensional framework (3-model) of any k-dimensional cube (kcube) can be produced
either based on starting k edges arranged by rotational symmetry or as sequences of strut-…
either based on starting k edges arranged by rotational symmetry or as sequences of strut-…
[PDF][PDF] Fault detection and isolation based on the combination of a bank of interval observers
… [1], this paper focuses on the representation of uncertainties by zonotopes and the design of
… Section II introduces the notions of zonotopes and invariant sets. Section III introduces the …
… Section II introduces the notions of zonotopes and invariant sets. Section III introduces the …
Navigation in a multi-obstacle environment. from partition of the space to a zonotopic-based MPC
… The feasible domain is efficiently described using zonotopes which have a complexity …
5, we consider a family of zonotopes parametrized wrt their centers cl and scaling factors ∆l …
5, we consider a family of zonotopes parametrized wrt their centers cl and scaling factors ∆l …