Temporally sparse controls for infinite horizon semilinear parabolic equations with norm constraints
In this paper, infinite horizon optimal control prob lems subject to semilinear parabolic equations are investigated. A finite number of only time-dependent controls intervening at dis joint positions in the space domain are considered. The controls are subject to integral constraints and a term is...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/35313 |
| Acceso en línea: | https://hdl.handle.net/10902/35313 |
| Access Level: | acceso abierto |
| Palabra clave: | Semilinear parabolic equation Sparse optimal control Infinite horizon problems First and second order optimality conditions |
| Sumario: | In this paper, infinite horizon optimal control prob lems subject to semilinear parabolic equations are investigated. A finite number of only time-dependent controls intervening at dis joint positions in the space domain are considered. The controls are subject to integral constraints and a term is included in the cost functional that promotes control sparsity. The existence of optimal controls is proven, first and second order optimality conditions are derived, and the approximation by finite horizon control problems is addressed. |
|---|