Zonotopic set-membership state estimation for discrete-time descriptor LPV systems
… intersection zonotope with respect to a correction matrix. With a defined zonotope minimization
… adaptive bound of the radius of the intersection zonotope is also provided. Finally, a case …
… adaptive bound of the radius of the intersection zonotope is also provided. Finally, a case …
[HTML][HTML] Remarks on random countable stable zonotopes
Y Davydov, V Paulauskas - Statistics & Probability Letters, 2019 - Elsevier
… and we study in more detail the boundary of some random countable stable zonotopes … A
finite Minkowski sum of segments is called a zonotope. We consider zonotopes as elements of …
finite Minkowski sum of segments is called a zonotope. We consider zonotopes as elements of …
Small Primitive Zonotopes
A Deza, G Manoussakis, S Onn - Geometry and Symmetry Conference, 2015 - Springer
… zonotope generated by G is the convex hull of all signed sums of the elements of G. We consider
zonotopes … the primitive zonotope \(Z_q(d,p)\) defined as the zonotope generated by the …
zonotopes … the primitive zonotope \(Z_q(d,p)\) defined as the zonotope generated by the …
Zonotope Order Reduction in Robust Estimation
CE Valero, R Paulen - 2022 23rd International Carpathian …, 2022 - ieeexplore.ieee.org
… (order of the zonotopes) along with the computational cost. Therefore, a zonotope order
reduction is necessary for real-time applicability. In this paper, a new zonotope order reduction …
reduction is necessary for real-time applicability. In this paper, a new zonotope order reduction …
[HTML][HTML] Convex cones, integral zonotopes, limit shape
… the zonotopes in T ( C , k ) are very close to a fixed convex set. We also establish several
combinatorial properties of a typical zonotope in … properties of a typical zonotope T in T ( C , k ) , …
combinatorial properties of a typical zonotope in … properties of a typical zonotope T in T ( C , k ) , …
Polynomial time construction of ellipsoidal approximations of zonotopes given by generator descriptions
M Černý, M Rada - International Conference on Theory and Applications of …, 2012 - Springer
… We will take the advantage of the fact that a zonotope given by the generator description
is a kind of an implicitly defined polyhedron in the sense of [6]. … For a proof of polynomial-time …
is a kind of an implicitly defined polyhedron in the sense of [6]. … For a proof of polynomial-time …
Scalable zonotopic under-approximation of backward reachable sets for uncertain linear systems
… In this paper, we use zonotopes to achieve more scalable algorithms … zonotopes are not
closed under such operations. We underapproximate this Minkowski difference with a zonotope, …
closed under such operations. We underapproximate this Minkowski difference with a zonotope, …
Deformation cones of graphical zonotopes
A Padrol, V Pilaud, G Poullot - Discrete Mathematics Days 2022, 2022 - books.google.com
… zonotopes. Deformations of the classical permutahedron (which is the graphical zonotope
of … We provide an irredundant description of the deformation cone of the graphical zonotope …
of … We provide an irredundant description of the deformation cone of the graphical zonotope …
On the sum of the Voronoi polytope of a lattice with a zonotope
MD Sikiric, V Grishukhin, A Magazinov - arXiv preprint arXiv:1209.4652, 2012 - arxiv.org
… parallelotope P and a zonotope Z(U), where U is the set of vectors used to generate the
zonotope. In this paper … Using this we classify such zonotopes for some highly symmetric lattices. …
zonotope. In this paper … Using this we classify such zonotopes for some highly symmetric lattices. …
Zonotopes et zonoïdes: études et applications aux processus de la séparation
O Daoudi - 1995 - tel.archives-ouvertes.fr
… de zonoides par des zonotopes. Une methode de construction de suites de zonotopes
convergeant vers un zonoide donne est etablie. Pour chaque zonotope, élément de la suite, nous …
convergeant vers un zonoide donne est etablie. Pour chaque zonotope, élément de la suite, nous …