Optimal Control in Wave Equations via Nash and Pareto Equilibria

被引：0
作者：
de Carvalho, Pitagoras P. [1 ]
Neto, Gilcenio R. de Sousa [2 ]
机构：
[1] Univ Estadual Piaui UESPI, Coordenacao Matemat, Teresina, PI, Brazil
[2] Univ Fed Piaui UFPI, Departmento Matemat, Teresina, PI, Brazil
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2025年 / 43卷
关键词：
Wave equations; Optimal control; Nash equilibrium; Pareto equilibrium; FreeFem++; HIERARCHICAL CONTROL; CONTROLLABILITY;
D O I：
10.5269/bepm.68317
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The objective of this work is to conduct a theoretical and numerical study on bi-objective optimal control for linear and semilinear wave equations, using Nash and Pareto equilibrium strategies in three-dimensional domains. Due to its connection with an optimization process, we will employ cost functional minimization, which is formulated in combination with strategies related to Nash and Pareto Equilibria. We will use the FreeFem++ software to translate the theoretical problems into C++ programming code, describing the spatial discretization through the Finite Element Method (FEM) and the temporal evolution discretization using the Finite Difference Method.
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页数：26
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