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Forbidden Vertices
(2015)
Ehrhart theory of lattice path matroid polytopes
(Universidad de los AndesMaestría en MatemáticasFacultad de CienciasDepartamento de Matemáticas, 2021)
We study h*-vectors of lattice path matroids polytopes. Since these polytopes are alcoved, as a first step, we provide a combinatorial toolkit for the analysis of such vectors of this larger family. Based on this, ...
H*-vectors of smooth fano polytopes and their duals
(Universidad de los AndesMaestría en MatemáticasFacultad de CienciasDepartamento de Matemáticas, 2020)
"En este documento estudiamos dos aspectos de la teoría de Ehrhart de politopos enteros. Primero, resumimos los resultados conocidos sobre el h* vector y probamos algunas desigualdades del vector h*- para politopos smooth ...
Minimal external representations of tropical polyhedra
(Elsevier, 2013-02-11)
Tropical polyhedra are known to be representable externally, as intersections of finitely many tropical half-spaces. However, unlike in the classical case, the extreme rays of their polar cones provide external representations ...
Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
(2021-01-08)
In this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the stability of continuous-time Takagi–Sugeno fuzzy systems. The results are established by exploring properties of the membership functions. ...
Black box correlations: locality, noncontextuality, and convex polytopes
(Universidade Federal de Minas GeraisUFMG, 2012-09-14)
This dissertation studies nonlocal/contextual correlations and its generalisation from a device independent approach, where statistical data are themselves the object of study. For this, we explore a black box framework, ...
Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
(Hindawi Publishing Corporation, 2012-01-01)
The motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, ...
Twistor and polytope interpretations for subleading color one-loop amplitudes
(Elsevier B.V., 2012-02-21)
We use the relation of the one-loop subleading-color amplitudes to the one-loop n-point leading color amplitudes in N = 4 SYM, to derive a polytope interpretation for the former in the MHV case, and a representation in ...
Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
(Hindawi Publishing Corporation, 2012-01-01)
The motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, ...
Twistor and polytope interpretations for subleading color one-loop amplitudes
(Elsevier B.V., 2012-02-21)
We use the relation of the one-loop subleading-color amplitudes to the one-loop n-point leading color amplitudes in N = 4 SYM, to derive a polytope interpretation for the former in the MHV case, and a representation in ...