Project/scholarship details

  • Funder

    FCT - Fundação para a Ciência e a Tecnologia, I.P.

  • Funder's country

    Portugal

  • Funding program

    5876-PPCDTI

  • Funding amount

    163,920.00 €

  • Start date

    2013-07-01

  • End date

    2015-09-30

Documents

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An optimal control approach to the irrigation planning problem

Lopes, Sofia Oliveira; Fontes, Fernando A. C. C.; Pinho, Maria do Rosário de; Pereira, Rui M. S.; Gonçalves, A. Manuela; Machado, Gaspar J.

We study the irrigation systems as an optimal control problem, where the trajectory is the water in the soil and the control is the amount of water introduced in the soil via irrigation. We consider two problems: rst what we call the Yearly planning problem to determine the amount of water spent along the year and then the Initial planning problem to calculate the minimum amount of water in order to ful ll the ...

Date: 2013   |   Origin: RepositóriUM - Universidade do Minho
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Optimal control of the irrigation problem : characterization of the solution

Lopes, Sofia Oliveira; Pereira, Rui M. S.; Fontes, Fernando A. C. C.; Pinho, Maria do Rosário de; Machado, Gaspar J.

Publicado em "Procedia technology, ISSN 2212-0173, vol. 17 (2014)"; This article studies the optimal solution to the irrigation problem described as: minimize the water flow (control) so that the extent water amount in the soil (trajectory) fulfills the cultivation water requirements. We characterize the solution applying the necessary conditions of optimality in the form of the Maximum Principle. We also compa...

Date: 2014   |   Origin: RepositóriUM - Universidade do Minho
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Optimal control and numerical software: an overview

Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.

Optimal Control (OC) is the process of determining control and state trajectories for a dynamic system, over a period of time, in order to optimize a given performance index. With the increasing of variables and complexity, OC problems can no longer be solved analytically and, consequently, numerical methods are required. For this purpose, direct and indirect methods are used. Direct methods consist in the disc...

Date: 2014   |   Origin: RepositóriUM - Universidade do Minho
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Multiobjective approach to optimal control for a dengue transmission model

Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, L.; Espírito Santo, I. A. C. P.; Torres, Delfim F. M.

During the last decades, the global prevalence of dengue progressed dramatically. It is a disease which is now endemic in more than one hundred countries of Africa, America, Asia and the Western Pacific. This study addresses a mathematical model for the dengue disease transmission and finding the most effective ways of controlling the disease. The model is described by a system of ordinary differential equation...

Date: 2015   |   Origin: RepositóriUM - Universidade do Minho
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Local minima of quadratic functionals and control of hydro-electric power stations

Ferreira, M. M. A.; Ribeiro, A. F.; Smirnov, Georgi

We consider a control problem for a cascade of hydro-electric power stations, where some of the stations have reversible turbines. Our aim was to optimize the profit of power production satisfying restrictions on the water level in the reservoirs. From the mathematical point of view, this consists in minimizing an infinite-dimensional quadratic functional subject to cone constraints. Sufficient conditions of op...

Date: 2015   |   Origin: RepositóriUM - Universidade do Minho
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Coexistence of two dengue virus serotypes and forecasting for Madeira Island

Rocha, Filipa Portugal; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.

The first outbreak of dengue occurred in Madeira Island in 2012, featuring one virus serotype. Aedes aegypti was the vector of the disease and it is unlikely that it will be eliminated from the island. Therefore, a new outbreak of dengue fever can occur and, if it happens, risk to the population increases if two serotypes coexist. In this paper, mathematical modeling and numerical simulations are carried out to...

Date: 2015   |   Origin: RepositóriUM - Universidade do Minho
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On application of optimal control to SEIR normalized models: Pros and cons

de Pinho, Maria Rosário; Nogueira, Filipa Nunes

In this work we normalize a SEIR model that incorporates exponential natural birth and death, as well as disease-caused death. We use optimal control to control by vaccination the spread of a generic infectious disease described by a normalized model with L1 cost. We discuss the pros and cons of SEIR normalized models when compared with classical models when optimal control with L1 costs are considered. Our dis...

Date: 2017   |   Origin: RepositóriUM - Universidade do Minho
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