Stability of Switched Feedback Time-Varying Dynamic Systems Based on the Properties of the Gap Metric for Operators

The stabilization of dynamic switched control systems is focused on and based on an operator-based formulation. It is assumed that the controlled object and the controller are described by sequences of closed operator pairs (L, C) on a Hilbert space H of the input and output spaces and it is related to the existence of the inverse of the resulting input-output operator being admissible and bounded. The technical mechanism addressed to get the results is the appropriate use of the fact that closed operators being sufficiently close to bounded operators, in terms of the gap metric, are also bounded. That philosophy is followed for the operators describing the input-output relations in switched feedback control systems so as to guarantee the closed-loop stabilization.

Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces

Some results on fixed points related to the contractive compositions of bounded operators in a class of complete metric spaces which can be also considered as Banach's spaces are discussed through the paper. The class of composite operators under study can include, in particular, sequences of projection operators under, in general, oblique projective operators. In this paper we are concerned with composite operators which include sequences of pairs of contractive operators involving, in general, oblique projection operators. The results are generalized to sequences of, in general, nonconstant bounded closed operators which can have bounded, closed, and compact limit operators, such that the relevant composite sequences are also compact operators. It is proven that in both cases, Banach contraction principle guarantees the existence of unique fixed points under contractive conditions.

On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems

The problem discussed is the stability of two input-output feedforward and feedback relations, under an integral-type constraint defining an admissible class of feedback controllers. Sufficiency-type conditions are given for the positive, bounded and of closed range feed-forward operator to be strictly positive and then boundedly invertible, with its existing inverse being also a strictly positive operator. The general formalism is first established and the linked to properties of some typical contractive and pseudocontractive mappings while some real-world applications and links of the above formalism to asymptotic hyperstability of dynamic systems are discussed later on.

On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations

This paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness properties of the worst-case norms of the errors in their respective fixed points in which they exist are also given. The iterated sequences are expanded in separable Hilbert spaces through the use of numerable orthonormal bases.

Distribution theory and fundamental solutions of differential operators

The objective of this dissertation is to study the theory of distributions and some of its applications. Certain concepts which we would include in the theory of distributions nowadays have been widely used in several fields of mathematics and physics. It was Dirac who first introduced the delta function as we know it, in an attempt to keep a convenient notation in his works in quantum mechanics. Their work contributed to open a new path in mathematics, as new objects, similar to functions but not of their same nature, were being used systematically. Distributions are believed to have been first formally introduced by the Soviet mathematician Sergei Sobolev and by Laurent Schwartz. The aim of this project is to show how distribution theory can be used to obtain what we call fundamental solutions of partial differential equations.

Roaming in the Mobile Internet: when coverage sharing agreements call for regulation

Revised: 2006-06

Market Power in the Spanish Electricity Auction

Published as an article in: Journal of Regulatory Economics, 2010, vol. 37, issue 1, pages 42-69.

Avances en algoritmos de estimación de distribuciones. Alternativas en el aprendizaje y representación de problemas

131 p.: graf.

Análisis de los factores determinantes del uso de mensajes SMS para participar en programas de televisión

[ES] El envío de mensajes cortos a programas, anuncios o concursos de televisión se ha convertido hoy en día en una fuente importante de ingresos tanto para los operadores de telefonía móvil como para las cadenas y productoras televisivas. El objetivo del presente trabajo es analizar cómo contribuye la actitud y la relación individuo-medio en que el telespectador utilice este servicio de mensajería para participar en los programas televisivos. Los resultados ponen de relieve que tanto la compatibilidad del individuo con el servicio como el entretenimiento percibido al participar en este tipo de programas y la actitud hacia el uso son factores determinantes de la utilización del servicio.

Dealing with Energy-QoE Trade-Offs in Mobile Video

Scalable video coding allows an efficient provision of video services at different quality levels with different energy demands. According to the specific type of service and network scenario, end users and/or operators may decide to choose among different energy versus quality combinations. In order to deal with the resulting trade-off, in this paper we analyze the number of video layers that are worth to be received taking into account the energy constraints. A single-objective optimization is proposed based on dynamically selecting the number of layers, which is able to minimize the energy consumption with the constraint of a minimal quality threshold to be reached. However, this approach cannot reflect the fact that the same increment of energy consumption may result in different increments of visual quality. Thus, a multiobjective optimization is proposed and a utility function is defined in order to weight the energy consumption and the visual quality criteria. Finally, since the optimization solving mechanism is computationally expensive to be implemented in mobile devices, a heuristic algorithm is proposed. This way, significant energy consumption reduction will be achieved while keeping reasonable quality levels.

Some Results on Fixed and Best Proximity Points of Precyclic Self-Mappings

12 p.

Compliance verification methodology for renewable generation integration. Application to island power grids

261 p.

Embedding quantum simulators

79 p.

Coincidence point theorems in quasi-metric spaces without assuming the mixed monotone property and consequences in G-metric spaces

In this paper, we present some coincidence point theorems in the setting of quasi-metric spaces that can be applied to operators which not necessarily have the mixed monotone property. As a consequence, we particularize our results to the field of metric spaces, partially ordered metric spaces and G-metric spaces, obtaining some very recent results. Finally, we show how to use our main theorems to obtain coupled, tripled, quadrupled and multidimensional coincidence point results.

PICC vs Catéter central insertado en vena subclavia en pacientes críticos

[Es]Introducción: actualmente, en servicios como UCIs, quirófanos y Urgencias cada vez es más común el empleo de CVCS y PICC. Ambos están asociados a graves complicaciones como CLABSI, TVP, EP, arritmia, etc. Dado que la enfermería juega un papel importante tanto en la inserción de estos dispositivos, como en el mantenimiento y prevención de las adversidades, es necesario poseer los conocimientos y habilidades adecuados para su afrontamiento. Objetivo y metodología: determinar cuál de los dos supone menor riesgo de complicaciones en pacientes críticos mediante la evidencia científica y utilizando la EBE. Para ello se ha realizado una revisión bibliográfica de estudios encontrados en bases de datos como Pubmed, Cochrane y Cinhal mediante la combinación de términos MeSH y palabras clave con operadores booleanos. Resultados y discusión: se han incluido en total 13 publicaciones (6 RS, 4 estudios de cohorte, 1 ECA y 2 GPC), de las cuales 3 poseen calidad alta, 3 media y 5 baja. Tanto los PICC como los CVCS implican diversas complicaciones, divididas en infecciosas, trombo-embolicas y mecánicas/otras. Existe insuficiente evidencia científica y gran heterogeneidad entre los artículos, lo que dificulta su extrapolación. Conclusiones: en pacientes críticos los PICC poseen mayor riesgo de TVP, los CVCS de complicaciones mecánicas, y ambos presentan tasas similares de CLABSI. Es importante escoger de forma individualizada el catéter a implantar, estimando los riesgos-beneficios de cada uno. Los cuidados preventivos son fundamentales en la reducción de estas contingencias. Son necesarios más estudios prospectivos comparativos.