Robust Stackelberg controllability for the Navier-Stokes equations

被引:5
|
作者
Montoya, Cristhian [1 ]
de Teresa, Luz [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Inst Matemat, CU, Mexico Cdmx 04510, Mexico
来源
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2018年 / 25卷 / 05期
关键词
Robust control; Hierarchic control; Navier Stokes equations; Carleman estimates; Null controllability; APPROXIMATE CONTROLLABILITY; NULL CONTROLLABILITY; NASH STRATEGIES; EXISTENCE;
D O I
10.1007/s00030-018-0537-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we deal with a robust Stackelberg strategy for the Navier-Stokes system. The scheme is based in considering a robust control problem for the "follower control" and its associated disturbance function. Afterwards, we consider the notion of Stackelberg optimization (which is associated to the "leader control") in order to deduce a local null controllability result for the Navier-Stokes system.
引用
收藏
页数:33
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