Navegando por Autor "Brandão, Adilson José Vieira"

Filtrar resultados informando as primeiras letras
Agora exibindo 1 - 3 de 3
  • Nenhuma Miniatura Disponível
    Item
    Uma classe de séries infinitas envolvendo termos de sequências generalizadas.
    (2004) Martins, João Luiz; Brandão, Adilson José Vieira
    In this article we introduce a recurrence formula for certain infinite series whose terms include factors that belong to a generalized Horadamtype sequence. This recurrence formula is used to calculate the sum of the series X +∞ n=1 n kWnx n without the need of derivatives and at a lower computational cost. Some results are apresented below which were obtained by numerical implementation of the recurrence formula for some particular values of k and x.
  • Nenhuma Miniatura Disponível
    Item
    Fórmula de recorrência para a soma de séries infinitas.
    (2004) Martins, João Luiz; Brandão, Adilson José Vieira
    In this article we introduce a recurrence formula for certain infinite series whose terms include factors that belong to a generalized Horadam-type sequence. This recurrence formula is used to calculate the +∞ n=1 nkWnxn series sum without use of derivatives and at a lower computation cost. Some results are presented below which were obtained by numerical implementation of the recurrence formula for some particular values of k and x.
  • Nenhuma Miniatura Disponível
    Item
    Theoretical analysis and control results for the FitzHugh-Nagumo equation.
    (2008) Brandão, Adilson José Vieira; Fernandez Cara, Enrique; Magalhães, Paulo Marcelo Dias de; Rojas Medar, Marko Antonio
    In this paper we are concerned with some theoretical questions for the FitzHugh-Nagumo equation. First, we recall the system, we briefly explain the meaning of the variables and we present a simple proof of the existence and uniqueness of strong solution. We also consider an optimal control problem for this system. In this context, the goal is to determine how can we act on the system in order to get good properties. We prove the existence of optimal state-control pairs and, as an application of the Dubovitski-Milyoutin formalism, we deduce the corresponding optimality system. We also connect the optimal control problem with a controllability question and we construct a sequence of controls that produce solutions that converge strongly to desired states. This provides a strategy to make the system behave as desired. Finally, we present some open questions related to the control of this equation.