[HTML][HTML] Self-triggered adaptive model predictive control of constrained nonlinear systems: A min–max approach
… self-triggered sampling, we introduce a zonotope-based strategy to compute the reachable
… Section 3 describes the design of the zonotope-based set-membership parameter estimator…
… Section 3 describes the design of the zonotope-based set-membership parameter estimator…
Hierarchical mpc with coordinating terminal costs
V Raghuraman, V Renganathan… - 2020 American …, 2020 - ieeexplore.ieee.org
… This paper presents a novel terminal cost coordination mechanism using constrained
zonotopes, designed to improve system performance under hierarchical control. These terminal …
zonotopes, designed to improve system performance under hierarchical control. These terminal …
[PDF][PDF] The linear parametric geometric uncertainty model: points, lines and their relative positioning
Y Myers, L Joskowicz - Proc. 24th European Workshop on Computational …, 2008 - hal.inria.fr
… ing vertices parameterizations on the zonotope lα (q). To move the zonotope from event to
event, we connect points on the two zonotope boundaries with the same parameterization by …
event, we connect points on the two zonotope boundaries with the same parameterization by …
Efficient geometric operations on convex polyhedra, with an application to reachability analysis of hybrid systems
W Hagemann - Mathematics in Computer Science, 2015 - Springer
… For example, in 2005 Girard proposes the usage of zonotopes [18], which allow a very …
impossible, eg the intersection of zonotopes is in general not a zonotope. Typically, the usage of …
impossible, eg the intersection of zonotopes is in general not a zonotope. Typically, the usage of …
On the unique-lifting property
… Therefore, by a theorem of McMullen [10], S is a zonotope. Since S is a zonotope whose
belts are length 4, by Lemma 5, S is the image of the n-dimensional hypercube under an …
belts are length 4, by Lemma 5, S is the image of the n-dimensional hypercube under an …
Bidimensional inequalities with an ordinal variable
N Gravel, P Moyes - Social Ethics and Normative Economics, 2011 - Springer
… embedded in the Lorenz zonotope criterion because the … that implied by the Lorenz zonotope
criterion. While the utilitarian … the use of the Lorenz zonotope from a normative standpoint. …
criterion. While the utilitarian … the use of the Lorenz zonotope from a normative standpoint. …
[PDF][PDF] Distances defined by zonoids and statistical tests
L Klebanov, V Benes - INTERNATIONAL JOURNAL OF PURE …, 2008 - researchgate.net
… sum of finitely many centered line segments is called a zonotope. Consider a zonotope …
A set Z ∈ C′ is called a zonoid if it is a limit in dH distance of a sequence of zonotopes. …
A set Z ∈ C′ is called a zonoid if it is a limit in dH distance of a sequence of zonotopes. …
More about the 52 four-dimensional parallelotopes
M Deza, VP Grishukhin - Taiwanese Journal of Mathematics, 2008 - projecteuclid.org
… Recall, that a zonotope is the Minkowski sum of segments. … zonotopes: the first one between
zonotopes which are themselves parallelotopes and the second one between zonotopes the …
zonotopes which are themselves parallelotopes and the second one between zonotopes the …
Interval set‐membership estimation for continuous linear systems
F Xu, S Yang, B Liang - International Journal of Robust and …, 2020 - Wiley Online Library
… zonotope to over-approximate a higher-order SE zonotope at … on the order-reduction methods
of zonotopes. Note that the … the order reduction of SE zonotopes as a default step under …
of zonotopes. Note that the … the order reduction of SE zonotopes as a default step under …
Определение области типа параллелоэдра
ВП Гришухин - Моделирование и анализ информационных …, 2013 - mais-journal.ru
… In the second part of the paper, a facet description of zonotopes and zonotopal … A shift of
the zonotope Z(Up) is a face G of the zonotope Z(U). The center of the face G is an end-point of …
the zonotope Z(Up) is a face G of the zonotope Z(U). The center of the face G is an end-point of …