[HTML][HTML] Reconstructing d-Manifold Subcomplexes of Cubes from Their ( ⌊ d / 2 ⌋ + 1 ) -Skeletons

R Rowlands - Discrete & Computational Geometry, 2022 - Springer
… polytope, for example, one needs to know its \((d-2)\)-skeleton; however, some special
classes of polytopes are determined by much less information: for example, zonotopes and …

Set-Based Fault Estimation for Descriptor Systems

Y Wang - Advances in State Estimation, Diagnosis and Control of …, 2021 - Springer
… By means of fault detectability indices and matrix, we analyze and construct the FE
zonotope to estimate occurred actuator faults. Therefore, the optimal FE filter gain is computed. …

An isoperimetric problem for three-dimensional parallelohedra

Z Lángi - Pacific Journal of Mathematics, 2022 - msp.org
… can be defined as the Minkowski sums of at most six segments with prescribed linear
dependencies between the generating segments, and thus, they are a subclass of zonotopes. …

Accurate uncertainty propagation for discrete-time nonlinear systems using differential inequalities with model redundancy

X Yang, JK Scott - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
This article presents new methods for computing tight interval enclosures of the reachable
sets of discrete-time nonlinear systems subject to bounded uncertainties. These methods are …

Shared Certificates for Neural Network Verification

C Sprecher, M Fischer, DI Dimitrov, G Singh… - arXiv preprint arXiv …, 2021 - arxiv.org
… troduced by representing the zonotope as a box, we perform a second binary search on a
… As the baseline 𝑉𝑄 and 𝑉𝑇 , we use Zonotope propagation. For both datasets we consider …

Divisors on complete multigraphs and Donaldson-Thomas invariants of loop quivers

M Konvalinka, M Reineke, V Tewari - arXiv preprint arXiv:2111.07071, 2021 - arxiv.org
… Then G determines a zonotope ZG called the graphical zonotope obtained by taking the
Minkowski sum of line segments [ei,ej], one for each edge {i, j} ∈ E(G). Suppose that ∆n−1,n …

Average Number of Roots of Systems of Equations

BY Kazarnovskii - Functional Analysis and Its Applications, 2020 - Springer
… Recall that a zonotope is a polyhedron represented in the form of the Minkowski sum of
straight line segments, and a zonoid is the limit of a sequence of zonotopes convergent in the …

On Manin-Schechtman orders related to directed graphs

VI Danilov, AV Karzanov, GA Koshevoy - arXiv preprint arXiv:2203.06919, 2022 - arxiv.org
… membrane M turns into a cubillage Q′ on the zonotope Z(n, d − 1), and we define the set
Inv(Q′) of inversions of Q′ = π(M) to be equal to Inv(M) as well. Ziegler found a criterion on a …

[PDF][PDF] ARCH-COMP20 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics.

M Althoff, S Bak, Z Bao, M Forets, G Frehse… - …, 2020 - easychair-www.easychair.org
… run with a zonotope order of 10 … zonotope not intersecting the guard set onto the guard set;
second, we apply principal component analysis to the generators of the projected zonotope, …

Set-Membership Estimation for Industrial Processes with Uncertain Scheduling Parameters

H Zhang, Z Pan, F Liu - 2022 IEEE International Symposium on …, 2022 - ieeexplore.ieee.org
… According to the shape of the feasible state set, set-membership methods can be divided
into ellipsoids, zonotopes, paralleltopes, or boxes. Although the ellipsoidal set-membership …