Hierarchical Control for the Oldroyd Equation in Memoriam to Professor Luiz Adauto Medeiros
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916562966937600 |
|---|---|
| author | de Jesus, Isaías Pereira Clark, Marcondes Rodrigues Oliveira, Alexandro Marinho Louredo, Aldo Trajano |
| author_facet | de Jesus, Isaías Pereira Clark, Marcondes Rodrigues Oliveira, Alexandro Marinho Louredo, Aldo Trajano |
| contents | 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 coefficients, that is, they are bounded measurable functions. We assume that we can act in the dynamic of the system by a hierarchy of controls, where one main control (the leader) and several additional secondary control (the followers) act in order to accomplish their given tasks: controllability for the leader and optimization for followers. We obtain the existence and uniqueness of Nash equilibrium and its characterization, the approximate controllability with respect to the leader control, and the optimality system for leader control. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06666 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hierarchical Control for the Oldroyd Equation in Memoriam to Professor Luiz Adauto Medeiros de Jesus, Isaías Pereira Clark, Marcondes Rodrigues Oliveira, Alexandro Marinho Louredo, Aldo Trajano Optimization and Control Analysis of PDEs 93B05, 93C05, 35Q30, 76A05, 35Q93 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 coefficients, that is, they are bounded measurable functions. We assume that we can act in the dynamic of the system by a hierarchy of controls, where one main control (the leader) and several additional secondary control (the followers) act in order to accomplish their given tasks: controllability for the leader and optimization for followers. We obtain the existence and uniqueness of Nash equilibrium and its characterization, the approximate controllability with respect to the leader control, and the optimality system for leader control. |
| title | Hierarchical Control for the Oldroyd Equation in Memoriam to Professor Luiz Adauto Medeiros |
| topic | Optimization and Control Analysis of PDEs 93B05, 93C05, 35Q30, 76A05, 35Q93 |
| url | https://arxiv.org/abs/2501.06666 |