Hierarchic control for a coupled parabolic system

V Hernandez-Santamaria, L de Teresa… - Portugaliae …, 2016 - ems.press
In this paper we study a Stackelberg-Nash strategy to control systems of coupled linear
parabolic partial differential equations. We assume that we can act on the system through …

Some remarks on the hierarchic control for coupled parabolic PDEs

V Hernández-Santamaría, L de Teresa - … Numerics and Control: In Honor of …, 2018 - Springer
In this paper, we study Stackelberg-Nash strategies to control a system of two coupled
parabolic equations. We assume that we act in the system by means of a hierarchy of …

Robust Stackelberg controllability for linear and semilinear heat equations

V Hernández-Santamaría… - Evolution Equations and …, 2018 - aimsciences.org
In this paper, we present a Stackelberg strategy to control a semilinear parabolic equation.
We use the concept of hierarchic control to combine the concepts of controllability with …

Robust Stackelberg controllability for the Navier–Stokes equations

C Montoya, L de Teresa - Nonlinear Differential Equations and …, 2018 - Springer
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 …

On a multi-objective control problem for the Korteweg–de Vries equation

ICA Albuquerque, FD Araruna, MC Santos - Calculus of Variations and …, 2023 - Springer
This paper deals with a hierarchical control problem for the Korteweg–de Vries (KdV)
equation with distributed controls following a Stackelberg–Nash strategy. We have a control …

Stackelberg exact controllability for the Boussinesq system

T Takahashi, L de Teresa, Y Wu-Zhang - Nonlinear Differential Equations …, 2024 - Springer
We consider a Stackelberg control strategy applied to the Boussinesq system. More
precisely, we act on this system with a hierarchy of two controls. The aim of the “leader” …

Hierarchical Control for the Oldroyd Equation in Memoriam to Professor Luiz Adauto Medeiros

IPDE Jesus, MR Clark, AM Oliveira… - Anais da Academia …, 2024 - SciELO Brasil
This manuscript deals with a hierarchical control problem for Oldroyd equation under the
Stackelberg-Nash strategy. The Oldroyd equation model is defined by non-regular …

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 …

Stackelberg-Nash Exact Controllability for the Benney--Lin type Equation with Mixed Boundary Conditions

M Kumar, S Majumdar - 2024 - hal.science
This paper deals with a bi-objective control problem for a strongly dissipative fifth-order
Korteweg-de Vries (KdV) equation with Dirichlet-periodic mixed boundary conditions by …

Robust stackelberg controllability for a parabolic equation

V Hernández-Santamaría, L de Teresa - arXiv preprint arXiv:1610.06149, 2016 - arxiv.org
The aim of this paper is to perform a Stackelberg strategy to control parabolic equations. We
have one control,\textit {the leader}, that is responsible for a null controllability property; …