Zonotope-based set-membership estimation for multi-output uncertain systems

VTH Le, C Stoica, T Alamo… - … on Intelligent Control …, 2013 - ieeexplore.ieee.org
… For this reason, the representation by zonotopes is used in this … The compactness
representation of zonotopes can facilitate the … time) can be efficiently controlled using zonotopes

[HTML][HTML] Classification of vertex-transitive zonotopes

M Winter - Discrete & Computational Geometry, 2021 - Springer
… of a zonotope (ie, a canonical way to write the zonotope as a … determine the symmetries of
the zonotope. Section 3 recalls … : permutahedra are exactly the zonotopes generated by root …

Set-Valued Shadow Matching Using Zonotopes for 3-D Map-Aided GNSS Localization

S Bhamidipati, S Kousik, G Gao - arXiv preprint arXiv:2209.14238, 2022 - arxiv.org
… union of constrained zonotopes as a list of constrained zonotopes; so, we hold on to each
zonotopes as a list of constrained zonotopes. So, in practice, we consider each kth shadow, …

Goffin's algorithm for zonotopes

M Černý - Kybernetika, 2012 - eudml.org
top The Löwner-John ellipse of a full-dimensional bounded convex set is a circumscribed
ellipse with the property that if we shrink it by the factor n (where n is dimension), we obtain an …

[HTML][HTML] Zonotope-based recursive estimation of the feasible solution set for linear static systems with additive and multiplicative uncertainties

H Wang, IV Kolmanovsky, J Sun - Automatica, 2018 - Elsevier
… In this paper, we develop two zonotope-based set-membership … is referred to as Cone And
Zonotope Intersection (CAZI), … a zonotope overbounding an intersection of a zonotope and …

Low-complexity zonotopes can enhance uncertainty quantification (UQ)

O Kosheleva, V Kreinovich - 2021 - scholarworks.utep.edu
… In this paper, we show that this set is a particular case of what is called a zonotope, and
that we can use known results about zonotopes to make the corresponding computational …

Set-based state estimation of nonlinear systems using constrained zonotopes and interval arithmetic

BS Rego, DM Raimondo… - 2018 European Control …, 2018 - ieeexplore.ieee.org
… of zonotopeszonotopes, which are a generalization of zonotopes to a class of non-convex
sets. However, intersection algorithms has not been yet developed for polynomial zonotopes, …

Optimization over zonotopes and training support vector machines

M Bern, D Eppstein - Workshop on Algorithms and Data Structures, 2001 - Springer
We make a connection between classical polytopes called zonotopes and Support Vector
Machine (SVM) classifiers. We combine this connection with the ellipsoid method to give some …

Interval-Observer-based fault detection and isolation design for TS fuzzy system based on zonotope analysis

F Zhu, Y Tang, Z Wang - IEEE Transactions on Fuzzy Systems, 2021 - ieeexplore.ieee.org
This article deals with the fault detection and isolation problems for a class of uncertain
discrete-time Takagi-Sugeno (TS) fuzzy system based on the combination of the H-infinity …

A new set-membership estimation method based on zonotopes and ellipsoids

F You, H Zhang, F Wang - Transactions of the Institute of …, 2018 - journals.sagepub.com
… In this paper, a new set-membership estimation method based on ellipsoidal and zonotopes
… than the zonotope set-membership estimation algorithm. For the zonotope algorithm, it is …