Computing safe sets of linear sampled-data systems

F Gruber, M Althoff - IEEE Control Systems Letters, 2020 - ieeexplore.ieee.org
… In this section, we introduce zonotopes as an efficient set representation. Additionally, we
recall two approaches for determining whether a zonotope contains another zonotope. Finally, …

Approximation géométrique d'ensembles aléatoires convexes par des zonotopes: application au modèle Booléen.

S Rahmani - 2017 - theses.fr
… de X sous formes de zonotopes aléatoires réguliers. Ces zonotopes aléatoires réguliers
peuvent être … du grain primaire via ses approximations sous forme de zonotopes aléatoires. …

[BOOK][B] Stochastic geometry: selected topics

V Benes, J Rataj - 2007 - books.google.com
… The Minkowski sum of finitely many centred line segments is called a zonotope. Besides of
being … , regular octahedron, icosahedron and pentagonal dodecahedron are not zonotopes. …

Discriminant coamoebas in dimension two

L Nilsson, M Passare - Journal of Commutative Algebra, 2010 - JSTOR
… We also give an area formula for the coamoeba, showing that the coamoeba is intimately
related to a certain zonotope. In particular, we show how the coamoeba and this zonotope

Parametrized hyperplane arrangements for control design with collision avoidance constraints

D Ioan, S Olaru, I Prodan, F Stoican… - 2019 IEEE 15th …, 2019 - ieeexplore.ieee.org
… The present paper tackles this issue by using zonotopes and discussing their … halfspace
representation of a zonotope (13), we note that the hyperplanes defining a zonotope are strongly …

[HTML][HTML] Conservatism comparison of set-based robust fault detection methods: Set-theoretic UIO and interval observer cases

F Xu, J Tan, X Wang, B Liang - Automatica, 2019 - Elsevier
… related to the segment matrix H ̄ k and the residual zonotope lives in a box, it seems that
the l ∞ … zonotopes, we turn to the Frobenius norm to describe the sizes of residual zonotopes

Convex combinatorial optimization

S Onn, UG Rothblum - Discrete & Computational Geometry, 2004 - Springer
… makes use of several results about zonotopes which are available in combinatorial and …
In Section 2.1 we discuss the necessary preliminaries on zonotopes and edge-directions. In …

Robust fault detection based on adaptive threshold generation using interval LPV observers

S Montes de Oca, V Puig, J Blesa - International Journal of …, 2012 - Wiley Online Library
In this paper, robust fault detection based on adaptive threshold generation of a non‐linear
system described by means of a linear parameter‐varying (LPV) model is addressed. …

A comprehensive method for reachability analysis of uncertain nonlinear hybrid systems

M Maiga, N Ramdani… - … on Automatic Control, 2015 - ieeexplore.ieee.org
… As they happen to be a specific type of zonotope, they articulate perfectly with the
zonotope bounding method that we propose to enclose in an optimal way the set of flowpipe …

Robust output feedback control with guaranteed constraint satisfaction

S Sadraddini, R Tedrake - … of the 23rd International Conference on …, 2020 - dl.acm.org
… With the use of zonotope characterization, zonotope order-reduction, and polytope containment…
assumption is mainly for convenient notation and computation, as we use zonotope order …