[PDF][PDF] Ehrhart polynomials, successive minima, and an Ehrhart theory for rational dilates of a rational polytope

E Linke - 2011 - core.ac.uk
… the class of zonotopes. … case of zonotopes, we work out bounds on the volume of zonotopes
containing a given crosspolytope in Section 2.2. Since bounding the volume of zonotopes

Zonotopic Kalman Observer-based Sensor Fault Estimation for Discrete-Time Takagi-Sugeno Fuzzy Systems

W Ren, S Komada, K Yubai… - 2022 IEEE 17th …, 2022 - ieeexplore.ieee.org
… combing the structure of Kalman observer and zonotope theory. In addition, we propose
a gain optimality method by minimizing the Frobenius norm of zonotopes. Finally, A truck-trailer …

[HTML][HTML] Identifying a polytope by its fibre polytopes

P McMullen - Beiträge zur Algebra und Geometrie/Contributions to …, 2021 - Springer
… polytopes are zonotopes, then P itself must be a zonotope. … A characteristic property of a
zonotope Z is the fact that its … If each is a zonotope, when we lift the normal fans \(\mathcal {…

SPECIAL HYPERCUBE MODELS AND 3D-TESSELLATIONS BASED ON FIVE CUBES JOINING THE VERTICES OF THE PLATONIC DODECAHEDRON: Dedicated …

L Voros - Pollack Periodica, 2018 - go.gale.com
… Suitable combinations of these zonotopes result in 3-… above zonotope is the 3-model of
the 15-cube, or the Archimedean truncated icosidodecahedron. The reported further zonotopes

A zonotoped macromodeling for reachability verification of eye-diagram in high-speed I/O links with jitter

PDS Manoj, H Yu, C Gu, C Zhuo - 2014 IEEE/ACM International …, 2014 - ieeexplore.ieee.org
… Moreover, complexity reduction is not well addressed for the zonotope-based reachability
analysis. In this paper, a zonotope-based reachability analysis is utilized for the analog …

Robust Zonotopic Prognostics Approaches for LPV Systems Based on Set-Membership and Extended Kalman Filter

A Al-Mohamad, V Puig, G Hoblos… - … Conference on Control …, 2021 - ieeexplore.ieee.org
… On account of feasible application of zonotopes, the ZSM … strip of each output and the
predicted zonotope [5]. Hence, the … to the provided flexibility of zonotopes, a ZEKF approach is …

Special hypercube models and 3d-tessellations based on five cubes joining the vertices of the platonic dodecahedron

L Vörös - Pollack Periodica, 2018 - akjournals.com
… Suitable combinations of these zonotopes result in 3… above zonotope is the 3-model of the
15-cube, or the Archimedean truncated icosidodecahedron. The reported further zonotopes

Zonotopic set-membership estimation for Switched Systems based on Wi-Radius Minimization: Vehicle application

S Ifqir, V Puig, D Ichalal, N Ait-Oufroukh, S Mammar - IFAC-PapersOnLine, 2020 - Elsevier
zonotopes is used considering its good tradeoff between the estimation accuracy and
computational complexity. A zonotope is … mented by finding a parameterized intersection zonotope

Affine arithmetic: concepts and applications

LH De Figueiredo, J Stolfi - Numerical Algorithms, 2004 - Springer
… In general, the joint range of m affine forms is a zonotope in Rm, that is, a centrally … t ∈ T
with AA, we obtain as explained above a zonotope Z that contains P. To get a simpler enclosure …

[HTML][HTML] Functional interval estimation method for discrete-time switched systems under asynchronous switching

J Huang, H Che, H Trinh, X Zhao, Y Zhang - Journal of the Franklin Institute, 2022 - Elsevier
… However, the implementation of the zonotope-based method relies on the usage of
reduction-order operation to make the original zonotope wrapped in a new zonotope with fixed …