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.

Implantar un Sistema de Gestion Integral en Software libre

El proyecto de fin de carrera “Implantar un Sistema de Gestión Integral en Software libre” se ha desarrollado en la empresa Avanzosc con sede en Azkoitia. Una peculiaridad del proyecto es que a su vez se ha utilizado como cliente otra empresa, q2K, Soluciones Informáticas en Gestión Estratégica. El objetivo del proyecto es implantar en q2K un sistema de planificación de recursos empresariales (ERP, Enterprise Resource Planning), esto le permite reunir en una única aplicación todos los procesos de negocio de la empresa. La implantación de un ERP requiere de una importante inversión ya que el coste de la licencia de un sistema ERP propietario es elevado. Una interesante alternativa para evitar este desembolso es optar por un de ERP de software libre con todas las ventajas de configuración y personalización. En nuestro caso se ha adoptado OpenERP que es un software integral, modular y adaptable, adecuado para pequeñas y medianas empresas. El desarrollo del proyecto ha estado supervisado por el equipo de trabajo de Avanzosc, empresa líder en España en implantación de OpenErp, siguiendo la metodología de trabajo propia de esta empresa.

Gestión integral de la ampliación de una infraestructura de sistemas y servicios

Este proyecto se sitúa en el ámbito de las empresas que ofertan servicios informáticos a terceros. Estas empresas se dedican a cubrir las necesidades de gestión de la infraestructura de sistemas y servicios de los clientes. En concreto, los proyectos de ampliación de esas infraestructuras suelen ser bastante problemáticos. Este proyecto desarrolla un conjunto de procedimientos que permiten gestionar la ampliación de una infraestructura de sistemas y servicios de acuerdo a una librería de buenas prácticas denominada ITIL.

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.

Una aproximación integral desde la metodología del descubrimiento del conocimiento al problema de la predicción de supervivencia en el desastre del Titanic

El objetivo de este trabajo es estudiar el Desastre del Titanic, utilizando la metodología del Descubrimiento del Conocimiento (KDD). La tesis propone diferentes variantes de cómo aplicar técnicas de Minería de Datos y herramientas del Aprendizaje Automático para predecir de forma eficiente la sobrevivencia de los pasajeros. Con este fin se han adaptado diferentes algoritmos de pre-procesamiento de datos, selección de variables y clasificación, a las características particulares del problema tratado. Algunos de estos algoritmos han sido implementados o sus implementaciones han sido modificadas para el caso específico del problema del Titanic.

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.

Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint

This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an asymptotically hyperstable one in the feed-forward loop is allowed while it has also admitted the generation of a finite or infinite number of impulsive control actions which can be combined with a general form of nonimpulsive controls. The asymptotic hyperstability property is guaranteed under a set of sufficiency-type conditions for the impulsive controls.

On Nonnegative Solutions of Fractional q-Linear Time-Varying Dynamic Systems with Delayed Dynamics

This paper is devoted to the investigation of nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic linear time-varying systems involving delayed dynamics with delays. The dynamic systems are described based on q-calculus and Caputo fractional derivatives on any order.

Atención integral a víctimas de delitos. Las oficinas de asistencia a víctimas de delitos (OAVD)

[ES]Este proyecto trata de revisar las diferentes Oficinas de Asistencia a las Víctimas de Delitos (OAVD) de algunas Comunidades Autónomas, desde la situación en la que se encuentran las personas víctimas de delitos que acuden a estos centros, hasta la manera de proceder de los mismos en relación a su labor (asistencia, orientación, protección, ayuda, etc. a éstas); así como de delimitar las funciones que realizan con el fin de subrayar la necesidad de un modelo de atención integral a víctimas de delitos, entendido en un sentido amplio, complejo y diverso

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.