Excluded-volume short-range repulsive potential for tetrahedral molecules

F Bisi, L Longa, G Paja¸ k, R Rosso - Molecular Crystals and Liquid …, 2010 - Taylor & Francis
… of revolution, spherocylinders—D 2h symmetry—biaxial ellipsoids, speheroplateles [12],
spherocuboids [13]—and a few other cases embraced by the family of sphero-zonotopes [13]. …

State estimation for control systems with a multiplicative uncertainty through polyhedral techniques

EK Kostousova - IFIP Conference on System Modeling and Optimization, 2011 - Springer
The paper deals with polyhedral estimates for reachable tubes of differential systems with a
multiplicative uncertainty, namely linear systems with set-valued uncertainties in initial states…

The contribution of interval-based models to complex systems fault detection problems

J Quevedo, V Puig, T Escobet, R Sarrate… - IFAC Proceedings …, 2009 - Elsevier
This paper discusses the use of interval models (LTI models with interval parameters) to
represent the dynamics of complex systems in fault detection. Fault detection methods using …

[PDF][PDF] Extension of generalized Lorenz dominance criterion to multivariate attributes

K Nakamura - Faculty of Economics, University of Toyama, Working …, 2012 - core.ac.uk
This paper considers an extension of generalized Lorenz dominance (GL) criterion to the
case of multivariate attributes. Based on the uniform majorization of Kolm (1977), we propose …

[PDF][PDF] SPUR 2010 ABSTRACTS

H Chen - math.mit.edu
… Using a theorem of Stanley, we also compute a general form of the Ehrhart polynomial of
the dual zonotope for a class of cones over rational deformations of the braid arrangement. We …

Tropical Geometry

EM Feichtner, A Gathmann, I Itenberg… - Oberwolfach Reports, 2008 - ems.press
… It is thus a zonotope centered at the origin (0, 0), and its boundary is obtained by placing the
… The vectors πbk (left), the zonotope ΠB (center), and the coamoeba ΣB (right) from Example …

[PDF][PDF] A Stable Interval Observer for LTI Systems withoff Multiple Poles

C Combastel, SA Raka - nt.ntnu.no
… As a result, the input term ( ) is assumed to be bounded in a time-varying zonotope the shape
of which is defined by ( ). In particular, when ( ) is a square diagonal matrix, the input term …

Techniques pour l'analyse formelle de systèmes dynamiques non-linéaires

R Testylier - 2012 - tel.archives-ouvertes.fr
… Cette opération peut être effectuée efficacement sur les représentations des zonotopes et
les fonctions de support. des méthodes de calcul d’accessibilité basées sur les zonotopes

[PDF][PDF] Arithmetic matroids and Tutte polynomials

L Moci, M D'Adderio - Discrete Mathematics & Theoretical …, 2012 - dmtcs.episciences.org
We introduce the notion of arithmetic matroid, whose main example is provided by a list of
elements in a finitely generated abelian group. We study the representability of its dual, and, …

Theory and computational techniques for analysis of discrete-time control systems with disturbances

AA Kurzhanskiy, P Varaiya - Optimization Methods and Software, 2011 - Taylor & Francis
… Symmetric polytopes, called zonotopes 38, could be a solution. The zonotope method for
external approximation of reach sets of discrete-time linear systems was introduced in 11, …