Expectations of Tutte-related functions of random ranked sets with multiplicities

T Nhat Tran - arXiv e-prints, 2020 - ui.adsabs.harvard.edu
… , and the number of lattice points in a half-open zonotope. In particular, both models yield new
… convolution-like formula for the Ehrhart polynomials of lattice zonotopes will also be given. …

Ellipsoid bundle and its application to set-membership estimation

W Tang, Q Zhang, Z Wang, Y Shen - IFAC-PapersOnLine, 2020 - Elsevier
Zonotopes provide a way to make a good tradeoff between estimation accuracy and … of
ellipsoids and zonotopes. To this end, we need first review the relevant knowledge of zonotopes. …

Zonotopic Kalman filtering for stability augmentation and flight envelope estimation

HG Harno, Y Kim, J Moon… - Proceedings of the …, 2021 - journals.sagepub.com
… helicopter in terms of zonotopes. Not only are the resulting zonotopes used for the observer-…
, a product of two matrix zonotopes is overapproximated by another matrix zonotope. That is …

[HTML][HTML] Two-step zonotopic estimation method for discrete-time linear delayed systems

N Sehli, KI Taarit, Z Wang, T Raïssi, M Ksouri - European Journal of Control, 2022 - Elsevier
… To overcome the limitations due to the cooperativity constraint and coordinate transformation,
this paper introduces a new set-membership estimation method based on zonotopes. This …

Guaranteed state estimation via indirect polytopic set computation for nonlinear discrete-time systems

M Khajenejad, F Shoaib… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
… By transforming the polytopes that are characterized as zonotope bundles (ZB) and/or
constrained zonotopes (CZ), from the state space to the space of the generators of ZB/CZ, we …

A general construction for abstract interpretation of higher-order automatic differentiation

J Laurel, R Yang, S Ugare, R Nagel, G Singh… - Proceedings of the …, 2022 - dl.acm.org
… how to automatically construct zonotope transformers for … zonotope domain will be able to
leverage this dependence for improved precision. We can now finally propagate the zonotope

Ellipsoidal constrained state estimation in presence of bounded disturbances

Y Becis-Aubry - 2021 European Control Conference (ECC), 2021 - ieeexplore.ieee.org
This contribution proposes a recursive, computationally efficient, ready-to-use, online
method for the ellipsoidal state characterization for linear discrete-time models with additive …

Resilience analysis of cyber-physical networked microgrids with communication latency

Y Li, D Huang, Y Zhang… - 2021 IEEE Power & Energy …, 2021 - ieeexplore.ieee.org
… , and zonotope. In this work, zonotope approach is adopted to model the changes of
network latency. Figure 1 illustrates the modeling of changes using one-, twoand three-dimensional …

Robust Fault Diagnosis for Uncertain Linear Systems: A Set-Based Geometric Approach

Z Zhang, X He - IEEE Transactions on Instrumentation and …, 2022 - ieeexplore.ieee.org
… In this article, we take advantage of zonotopes to 12 describe the range of variables …
zonotope is an effective tool for dealing with system 87 uncertainties. Therefore, we use zonotopes

[HTML][HTML] Variation of GIT and variation of Lagrangian skeletons II: Quasi-symmetric case

J Huang, P Zhou - Advances in Mathematics, 2022 - Elsevier
… inside certain zonotope called the ‘… zonotope in R k , we obtain a universal skeleton over R
k × R k ﹨ D for some fattening D of the periodic facet hyperplane arrangement of the zonotope