Hierarchic control for the wave equation

FD Araruna, E Fernández-Cara, LC da Silva - Journal of Optimization …, 2018 - Springer
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 …

Bi-objective and hierarchical control for the Burgers equation

FD Araruna, E Fernández-Cara, LC da Silva - Journal of Evolution …, 2024 - Springer
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 …

Hierarchical exact controllability of the fourth order parabolic equations

B You, F Li - arXiv preprint arXiv:2211.00428, 2022 - arxiv.org
This paper is concerned with the application of Stackelberg-Nash strategies to control fourth
order linear and semi-linear parabolic equations. We assume that the system is acted …

Hierarchic control for the coupled fourth order parabolic equations

Y Li, M Zhang - arXiv preprint arXiv:2401.10551, 2024 - arxiv.org
In this paper, we obtain a null controllability result for a coupled fourth order parabolic
system based on the Stackelberg-Nash strategies. For this purpose, we first prove the …

Hierarchical Controllability for a Nonlinear Parabolic Equation in One Dimension

MR Nuñez-Chávez, JBL Ferrel - Journal of Optimization Theory and …, 2023 - Springer
This paper deals with the hierarchical control of a nonlinear parabolic equation in one
dimension. The novelty in this work is the appearance of the spatial derivative of the solution …

[PDF][PDF] Theoretical and numerical hierarchical control of some PDEs

F ARARUNA, P CARVALHO, S GUERRERO… - lmbp.uca.fr
Theoretical and numerical hierarchical control of some PDEs Page 1 Theoretical and numerical
hierarchical control of some PDEs Enrique FERNÁNDEZ-CARA Dpto. EDAN - Univ. of Sevilla …

[PDF][PDF] On the Stackelberg strategies in control theory

FD ARARUNA, S GUERRERO, MC SANTOS - ljll.fr
On the Stackelberg strategies in control theory Page 1 On the Stackelberg strategies in
control theory Enrique FERNÁNDEZ-CARA Dpto. EDAN - Univ. of Sevilla several joint works …

[引用][C] Hierarchical exact controllability of the fourth order parabolic equations

F Li, B You - Communications in Contemporary Mathematics, 2025 - World Scientific
This paper is concerned with the application of Stackelberg-Nash strategies to control fourth
order linear and semi-linear parabolic equations. We assume that the system is acted …