Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptions
First and second order optimality conditions are derived for infinite horizon optimal control problems subject to a semilinear parabolic equation, in the situation where the control-to-state mapping is not necessarily well defined. To deal with this situation appropriate detectability and stabilizin...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2026 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:ucreareposit::4eecf526b8e0c7c841d1c60333f7b678 |
| Acceso en línea: | https://hdl.handle.net/10902/40437 |
| Access Level: | acceso abierto |
| Palabra clave: | Semilinear parabolic equations Infinite horizon Feedback stabilization Detectability Robinson's constraint qualification Optimality conditions |
| Sumario: | First and second order optimality conditions are derived for infinite horizon optimal control problems subject to a semilinear parabolic equation, in the situation where the control-to-state mapping is not necessarily well defined. To deal with this situation appropriate detectability and stabilizing feedback mechanisms are introduced. Furthermore, the convergence of families of finite horizon optimal control problems to the infinite horizon problem is investigated. |
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