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Made available in DSpace on 2018-12-11T17:27:39Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-10-01 This paper proposes a coevolutionary augmented Lagrangian method (AGCE) for solving the classic economic dispatch problem. This problem becomes non-convex and non-differentiable if valve-point loadings effects are considered in the cost curves of thermal units. In such cases, the evolutionary approaches have proven to be efficient for solving the primal economic dispatch problem; however, the great majority of these methods are not capable of solving the associated dual problem. Furthermore, the solutions obtained by these methods cannot be evaluated concerning their optimality. The AGCE works in the primal-dual subspaces and is able to calculate both primal and dual optimal values. For such a purpose, AGCE processes, in parallel, the evolution of two distinct groups of individuals, associated with primal and dual variables, respectively. The 'clouds' of primal and dual points become iteratively denser, and converge to the saddle points associated with the problem, even in the presence of non-differentiability points. Therefore, AGCE makes possible the evaluation of optimality of its solution points. In the results, the AGCE is compared with a traditional interior point method and with a genetic algorithm that works only in the primal subspace. Unesp-Univ Estadual Paulista Departamento de Engenharia Eléctrica Unesp-Univ Estadual Paulista Departamento de Engenharia Eléctrica

O principal objetivo deste trabalho é apresentar um estudo sistemático da teoria dos espaços topológicos resolúveis e irresolúveis. Enfocaremos diversas propriedades inerentes aos mesmos, incluindo uma exposição meticulosa de técnicas utilizadas na construção de espaços topológicos irresolúveis e sem pontos isolados. Dado um cardinal \\kappa > 1, exibiremos exemplos de espaços topológicos que são \\kappa-resolúveis, mas que não são \\kappa^{+}-resolúveis. Mostraremos, ainda, que se um espaço topológico for n-resolúvel, para todo número natural n, o mesmo será \\omega-resolúvel. Provaremos, contudo, que se \\lambda é um cardinal tal que \\omega < cf(\\lambda) = \\lambda, existe um espaço topológico que é \\mu-resolúvel, para todo cardinal \\mu < \\lambda, mas que não é \\lambda-resolúvel. O cerne desta dissertação refere-se à construção, em ZFC, de um subespaço enumerável, denso e submaximal de 2^c. The main purpose of this work is to study the theory of resolvable and irresolvable topological spaces. We shall introduce many properties of these spaces and we shall give special attention to some techniques used in the construction of irresolvable topological spaces without isolated points. Given a cardinal \\kappa > 1, we will present some examples of topological spaces which are \\kappa-resolvable, but not \\kappa^{+}-resolvable. Besides, we will show that if a topological space is n-resolvable, for every natural number n > 1, then it is \\omega-resolvable too. Nevertheless, we shall prove that if \\lambda is a cardinal with \\omega < cf(\\lambda) = \\lambda, there is a topological space which is \\mu-resolvable, for each cardinal \\mu < \\lambda, but that is not \\lambda-resolvable. The backbone of this dissertation is the construction, in ZFC, of a countable, dense and submaximal subspaces of 2^c.

Este trabalho estuda o problema de rejeição total de perturbações em sistemas lineares através de realimentação estática de saída. Condições necessárias e suficientes para a existência de soluções em duas importantes famílias de sistemas são estabelecidas. O problema é solúvel se e somente se um determinado subespaço goza de uma propriedade de invariância. O conjunto de matrizes de realimentação de saída que resolvem o problema é então parametrizado através de uma mudança adequada da base de representação dos espaços de estado, controle e saída. Um exemplo numérico ilustra a abordagem proposta. This work adresses the Disturbance Decoupling Problem in linear systems via static output feedback. Necessary and sufficient conditions for solvability in two important families of systems are established. The problem is solvable if and only if a given subspace verifies an invariance property. The set of output feedback matrices which solve the problem is then parameterized through a suitable change of the coordinate basis of the state, input and output spaces. A numerical example illustrates the proposed approach.