Work

Controle ótimo em equações de ondas via equilíbrios de Nash e Pareto

Year: 2025

Type: article

Abstract: The objective of this work is to making a theoretical and numerical study on bi-objective optimal control for the linear and semi-linear wave equations, via Nash and Pareto equilibrium strategies, in three-dimensional domains. Due to being related to an optimization process, we will use cost functional minimization, formulated in combination with some strategies related to Nash Equilibrium and Pareto Equilibrium. We will use the FreeFem++ software to transcribe the theoretical problems to the C++ programming language, describing the spatial discretization data through the Finite Element Method (FEM), and the discretization of its temporal evolution, with the Finite Difference Method.

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.68317

Authors: Pitágoras Pinheiro de Carvalho, Gildenia R. Sousa-Neto

Institutions: Universidade Estadual do Piauí, Universidade Federal do Piauí

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408798803

FWCI:

Cites: 30

Cited by:

Related to: 10