[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. …
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 …
Realistic Uncertainty Measures for GPS
S Schön, H Kutterer - A Window on the Future of Geodesy …, 2006 - books.google.com
… Finally, confidence ellipsoids and zonotopes are superposed to extended uncertainty … for
the simple case of a zonotope with 6 vertices. Geometrically the zonotope is decomposed in sec…
the simple case of a zonotope with 6 vertices. Geometrically the zonotope is decomposed in sec…
Actuator fault tolerance evaluation of linear constrained robust model predictive control
P Guerra, C Ocampo-Martinez… - 2007 European control …, 2007 - ieeexplore.ieee.org
… In this paper, a zonotope-based method to evaluate the … This is done by using a
zonotope-based method in order to … Section V describes its implementation using zonotope-based …
zonotope-based method in order to … Section V describes its implementation using zonotope-based …
Recent progress in continuous and hybrid reachability analysis
… 1) Reachability using zonotopes: The choice of the representation of the sets Ω0,..., ΩN is …
in [18] the use of zonotopes for the representation of the sets Ω0,..., ΩN . A zonotope Z is a …
in [18] the use of zonotopes for the representation of the sets Ω0,..., ΩN . A zonotope Z is a …
Preliminary results on null controllable region of discrete-time switched linear systems with input saturation
Z Ji, X Guo, S Xu, L Wang, G Xie - 2006 IEEE Conference on …, 2006 - ieeexplore.ieee.org
… Furthermore, by Lemma 1, C is a union of zonotopes. Additionally, by virtue of the
centrally symmetric property of zonotopes and Lemma 1, C is also centrally symmetric. …
centrally symmetric property of zonotopes and Lemma 1, C is also centrally symmetric. …
Ellipsoidal techniques for reachability analysis of discrete-time linear systems
AA Kurzhanskiy, P Varaiya - IEEE Transactions on Automatic …, 2007 - ieeexplore.ieee.org
… The difficulty is that with every time step the order of the approximating zonotope increases
… zonotopes whose number of generator vectors exceeds this limit by lower order zonotopes. …
… zonotopes whose number of generator vectors exceeds this limit by lower order zonotopes. …
Robust fault diagnosis using parallelotope-based set-membership consistency tests
… One of the principal features of zonotopes is that the Minkowski sum of a box and a zonotope
is another zonotope. Therefore, if at time k it is known that the parameter belongs to set Zk …
is another zonotope. Therefore, if at time k it is known that the parameter belongs to set Zk …
Recent Results on p-Stable Convex Compact Sets with
V Paulauskas - Asymptotic Methods in Stochastics, 2004 - books.google.com
… Rather unexpectedly study of the boundary of random stable zonotopes gave rise to the …
zonotopes and present results, connected with the structure of the boundary of such zonotopes …
zonotopes and present results, connected with the structure of the boundary of such zonotopes …
[HTML][HTML] Derivatives of the Lp-cosine transform
Y Lonke - Advances in Mathematics, 2003 - Elsevier
… sums of intervals, called zonotopes. Every zonotope has a center of symmetry (namely, the
sum of the centers of the intervals). Up to translation, every zonotope Z has therefore the form …
sum of the centers of the intervals). Up to translation, every zonotope Z has therefore the form …