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]. …
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…
multiplicative uncertainty, namely linear systems with set-valued uncertainties in initial states…
The contribution of interval-based models to complex systems fault detection problems
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 …
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 …
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 …
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 …
… 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 …
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 …
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, …
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, …
external approximation of reach sets of discrete-time linear systems was introduced in 11, …