Improved zonotopic method to set membership identification for systems with time-varying parameters
W Chai, X Sun, J Qiao - IET control theory & applications, 2011 - IET
… zonotopes containing the intersection of a zonotope with a strip is constructed in the observation
update procedure. The minimal volume zonotope … this minimal volume zonotope is not …
update procedure. The minimal volume zonotope … this minimal volume zonotope is not …
A numerical approach to design control invariant sets for constrained nonlinear discrete-time systems with guaranteed optimality
… inversion via zonotope geometry by introducing the novel idea of bisecting zonotopes. The
… The explicit representation of a zonotope is the zonotope construction problem aiming to list …
… The explicit representation of a zonotope is the zonotope construction problem aiming to list …
[PDF][PDF] Robust identification and fault detection using zonotope-based direct and inverse approaches
This paper addresses the problem of robust identification/fault detection when a model with
parametric modelling is considered. Two identification methods are introduced following, …
parametric modelling is considered. Two identification methods are introduced following, …
[HTML][HTML] Ehrhart polynomial and arithmetic Tutte polynomial
M D'Adderio, L Moci - European Journal of Combinatorics, 2012 - Elsevier
… zonotope is a specialization of the arithmetic Tutte polynomial introduced by Moci (2012) [16].
We derive some formulae for the volume and the number of integer points of the zonotope. …
We derive some formulae for the volume and the number of integer points of the zonotope. …
[PDF][PDF] h-Polynomials of Zonotopes
K Jochemko - Convex, Discrete and Integral Geometry, 2011 - bcc.impan.pl
… their result to zonotopes by interpreting their h∗-polynomials in terms of certain refined
descent statistics on permutations. From that we obtain that the h∗-polynomial of a zonotope is …
descent statistics on permutations. From that we obtain that the h∗-polynomial of a zonotope is …
The col-Index of Zonotopes and Arrangements
LJ Billera, R Ehrenborg, M Readdy - … in honor of Gian-Carlo Rota, 2012 - books.google.com
… special class of polytopes, the zonotopes, and show for these that there is no reduction
whatsoever; that is, we show that the flag f-vectors of Zonotopes satisfy only the affine relations …
whatsoever; that is, we show that the flag f-vectors of Zonotopes satisfy only the affine relations …
Amoebas, discriminants, and hypergeometric functions
L Nilsson - 2009 - diva-portal.org
… and the zonotope is a 2-cycle, and as such, is an integer multiple of the torus itself. … as
zonotopes. By the results in Chapter 3, we know (for two dimensions) that these zonotopes exactly …
zonotopes. By the results in Chapter 3, we know (for two dimensions) that these zonotopes exactly …
A New Approach for Guaranteed State Estimation by Zonotopes
This paper proposes a methodology for guaranteed state estimation of linear discrete-time
systems in the presence of bounded disturbances and noises. This aims at computing an …
systems in the presence of bounded disturbances and noises. This aims at computing an …
[PDF][PDF] Real-time control allocation using zonotopes
M Demenkov - uol.de
… we want to maximize a normal to a facet over a zonotope: … Each facet of a zonotope is
constructed totally separately from the … , the number of zonotope facets is growing very rapidly… …
constructed totally separately from the … , the number of zonotope facets is growing very rapidly… …
The second Voronoi conjecture on parallelohedra for zonotopes
A Garber - arXiv preprint arXiv:1104.0401, 2011 - arxiv.org
… We prove the second Voronoi conjecture on parallelohedra for zonotope. We show that for …
copies of zonotope Z there are d vectors, connecting centers of zonotopes with common facet, …
copies of zonotope Z there are d vectors, connecting centers of zonotopes with common facet, …