Hierarchic Control for the Wave Equation

被引：21

作者：

Araruna, Fagner Dias ^{[1
]}

Fernandez-Cara, Enrique ^{[2
]}

da Silva, Luciano Cipriano ^{[1
]}

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil

[2] Univ Seville, Dept EDAN & IMUS, Aptdo 1160, E-41080 Seville, Spain

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2018年 / 178卷 / 01期

关键词：

Wave equation; Exact controllability; Stackelberg-Nash strategy; Carleman inequalities; APPROXIMATE CONTROLLABILITY;

D O I：

10.1007/s10957-018-1277-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper deals with the hierarchical control of the wave equation. We use Stackelberg-Nash strategies. As usual, we consider one leader and two followers. To each leader we associate a Nash equilibrium corresponding to a bi-objective optimal control problem; then, we look for a leader that solves an exact controllability problem. We consider linear and semilinear equations.

引用

页码：264 / 288

页数：25

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