Hierarchic Control for the Wave Equation

被引：20
|
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.
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页码：264 / 288
页数：25
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