Stabilization of constrained uncertain systems by an off-line approach using zonotopes

W Hamdi, W Bey - 2017 International Conference on Advanced …, 2017 - ieeexplore.ieee.org
In this paper, stabilization of uncertain systems was established using zonotopic sets. The
obtained state feedback control laws are computed by an off-line approach reducing …

[HTML][HTML] A linear optimization oracle for zonotope computation

A Deza, L Pournin - Computational Geometry, 2022 - Elsevier
… computing the vertices of a zonotope from its set of generators… recovers the generators of a
zonotope from its set of vertices. … set, is a zonotope and when it is not a zonotope, to compute …

[HTML][HTML] Description of the symmetric convex random closed sets as zonotopes from their Feret diameters

S Rahmani, JC Pinoli, J Debayle - Modern Stochastics: Theory and …, 2017 - vmsta.org
… X can be described as a zonotope. We will show that X can always be approximated as
precisely as we want by zonotopes and how such zonotopes can be characterized from the Feret …

[HTML][HTML] On the geometry of random convex sets between polytopes and zonotopes

D Alonso-Gutiérrez, J Prochno - Journal of Mathematical Analysis and …, 2017 - Elsevier
In this work we study a class of random convex sets that “interpolate” between polytopes
and zonotopes. These sets arise from considering a q t h -moment ( q ≥ 1 ) of an average of …

[HTML][HTML] A zonotope and a product of two simplices with disconnected flip graphs

G Liu - Discrete & Computational Geometry, 2018 - Springer
… Our first result is the first example of a zonotope whose flip graph is not connected. This …
of zonotopes rather than zonotopes themselves. Thus we will identify a zonotope with its …

[PDF][PDF] Inequalities for Polytopes and Zonotopes

R Ehrenborg - preprint, 2001 - igm.univ-mlv.fr
Nous prouvons que les coefficients de l'index cd d'un polytope convexe sont croissant lorsque
l'on remplace c2 par d. En d'autres termes, pour un polytope convexe de dimension n et …

Belt distance between facets of space-filling zonotopes

AI Garber - Mathematical Notes, 2012 - Springer
… In what follows, we show that the belt diameter of a parallelohedron that is a zonotope of …
a zonotope Z(V ) and the dimension of V decreases, then the corresponding zonotope Z(V \ {v}) …

Bounded error identification of systems with time-varying parameters

JM Bravo, T Alamo, EF Camacho - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
… in the context of time-varying parameters is that the Minkowski sum of a zonotope and a
box is a zonotope. That is, if the intersection FSSk\Fd is approximated by means of a …

Template complex zonotopes for stability and invariant verification

A Adimoolam, T Dang - 2017 American Control Conference …, 2017 - ieeexplore.ieee.org
… representation, called template complex zonotopes, where the generators … zonotope.
Furthermore, the second contribution of this paper is an application of template complex zonotopes

[HTML][HTML] Belt diameter of Π-zonotopes

A Garber - European Journal of Combinatorics, 2013 - Elsevier
… belt diameters of Π -zonotopes. We prove that any d -dimensional Π -zonotope ( d ≥ 3 ) has
… the edge graph of dual polytope for such zonotopes is not greater than 4 and 3 respectively. …