89 resultados para Discrete analytic function theory
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Pós-graduação em Matemática Universitária - IGCE
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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The present work describes an alternative methodology for identification of aeroelastic stability in a range of varying parameters. Analysis is performed in time domain based on Lyapunov stability and solved by convex optimization algorithms. The theory is outlined and simulations are carried out on a benchmark system to illustrate the method. The classical methodology with the analysis of the system's eigenvalues is presented for comparing the results and validating the approach. The aeroelastic model is represented in state space format and the unsteady aerodynamic forces are written in time domain using rational function approximation. The problem is formulated as a polytopic differential inclusion system and the conceptual idea can be used in two different applications. In the first application the method verifies the aeroelastic stability in a range of air density (or its equivalent altitude range). In the second one, the stability is verified for a rage of velocities. These analyses are in contrast to the classical discrete analysis performed at fixed air density/velocity values. It is shown that this method is efficient to identify stability regions in the flight envelope and it offers promise for robust flutter identification.
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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This qualitative research was performed with the goal of investigating the contributions of theoretical and methodological perspectives in the alphabetization process, aiming to train proficient writers of texts with communicative function. Hence, such were the goals established for this research: giving a retrospective look on the synthetic and analytic methods of teaching literacy; verifying the possibilities and limits of theoretical and methodological approaches of acquiring the ability to write and identifying the teachers’ ideas concerning basic concepts (such as literacy, text and textual genres) imbued in the teaching of writing; and establishing which activities they develop in the course of teaching whether the pedagogical practices of the teacher observed contributed to the formation of students who were capable of producing significant texts of diverse genres, suitable to the objectives, to the readers, and to the context of the circulation of texts. The research was done in a public elementary school, in a 2nd grade class of the city of Jaú. Subjects of the research were four teachers and twenty-eight children. For this work, two instruments were used for data collecting: a questionnaire and direct observation, registered in research diaries. Among the observations made were that, although there are many studies on literacy, the practices actually adopted in class are empirical in nature and do not contribute to the process of developing individual writing or reading skills at all; rather, it is only valued the ability of establishing relations between phonemes and graphemes; literacy teachers do not have adequate knowledge of concepts of literacy, teaching, text and textual genres, valuing only one methodological theory and disregarding other contributions on the field of text production
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Some problems of Calculus of Variations do not have solutions in the class of classic continuous and smooth arcs. This suggests the need of a relaxation or extension of the problem ensuring the existence of a solution in some enlarged class of arcs. This work aims at the development of an extension for a more general optimal control problem with nonlinear control dynamics in which the control function takes values in some closed, but not necessarily bounded, set. To achieve this goal, we exploit the approach of R.V. Gamkrelidze based on the generalized controls, but related to discontinuous arcs. This leads to the notion of generalized impulsive control. The proposed extension links various approaches on the issue of extension found in the literature.