An optimal control problem for a Kirchhoff-type equation
In this paper we study a control problem for a Kirchhoff-type equation. The method to obtain first order necessary optimality conditions is the Dubovitskii-Milyoutin formalism because the classical arguments do not work. We obtain a characterization of the optimal control by a partial differential s...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/61077 |
| Acceso en línea: | http://hdl.handle.net/11441/61077 https://doi.org/10.1051/cocv/2016013 |
| Access Level: | acceso abierto |
| Palabra clave: | Optimal control Optimality system Adjoint problem Euler-Lagrange equation Kirchhoff equation |
| Sumario: | In this paper we study a control problem for a Kirchhoff-type equation. The method to obtain first order necessary optimality conditions is the Dubovitskii-Milyoutin formalism because the classical arguments do not work. We obtain a characterization of the optimal control by a partial differential system which is solved numerically. |
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