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, …
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. …
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. …
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 …
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
… 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 …
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
… 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 …
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 …
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
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. …
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 …
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 …
assumption is mainly for convenient notation and computation, as we use zonotope order …