Boundary control of multi-dimensional discrete-velocity kinetic models
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929724347908096 |
|---|---|
| author | Yang, Haitian Yong, Wen-An |
| author_facet | Yang, Haitian Yong, Wen-An |
| contents | This technical note is concerned with boundary stabilization of multi-dimensional discrete-velocity kinetic models. By exploiting a certain stability structure of the models and adapting an appropriate Lyapunov functional, we derive feasible control laws so that the corresponding solutions decay exponentially in time. The result is illustrated with an application to the two-dimensional coplanar model in a square container. The effectiveness of the derived control laws is confirmed by numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10581 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Boundary control of multi-dimensional discrete-velocity kinetic models Yang, Haitian Yong, Wen-An Optimization and Control Analysis of PDEs This technical note is concerned with boundary stabilization of multi-dimensional discrete-velocity kinetic models. By exploiting a certain stability structure of the models and adapting an appropriate Lyapunov functional, we derive feasible control laws so that the corresponding solutions decay exponentially in time. The result is illustrated with an application to the two-dimensional coplanar model in a square container. The effectiveness of the derived control laws is confirmed by numerical simulations. |
| title | Boundary control of multi-dimensional discrete-velocity kinetic models |
| topic | Optimization and Control Analysis of PDEs |
| url | https://arxiv.org/abs/2312.10581 |