Bi-objective and hierarchical control for the Burgers equation

被引：2
作者：
Araruna, F. D. [1 ]
Fernandez-Cara, E. [1 ,2 ]
da Silva, L. C. [3 ]
机构：
[1] Univ Fed Paraiba, Dpto Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil
[2] Univ Seville, Dpto EDAN & IMUS, Aptdo 1160, Seville 41080, Spain
[3] Inst Fed Rio Grande Do Norte, BR-59550000 Joao Camara, RN, Brazil
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2024年 / 24卷 / 02期
关键词：
Null controllability; Burgers equation; Carleman inequalities; Stackelberg-Nash strategy; APPROXIMATE CONTROLLABILITY; GLOBAL-CONTROLLABILITY; SYSTEM;
D O I：
10.1007/s00028-024-00952-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present some results concerning the control of the Burgers equation. We analyze a bi-objective optimal control problem and then the hierarchical null controllability through a Stackelberg-Nash strategy, with one leader and two followers. The results may be viewed as an extension to this nonlinear setting of a previous analysis performed for linear and semilinear heat equations. They can also be regarded as a first step in the solution of control problems of this kind for the Navier-Stokes equations.
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页数：17
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