A nondegenerate maximum principle for the impulse control problem with state constraints

In this article, a free-time impulsive control problem with state constraints and equality and inequality constraints on the trajectory endpoints is considered. A weakened maximum principle is obtained for problems with data measurable in the time variable, being the time transversality conditions d...

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Detalhes bibliográficos
Autor principal: Aram Arutyunov (author)
Outros Autores: Dmitry Karamzin (author), Fernando Lobo Pereira (author)
Formato: article
Idioma:eng
Publicado em: 2005
Assuntos:
Texto completo:https://hdl.handle.net/10216/92179
País:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/92179
Descrição
Resumo:In this article, a free-time impulsive control problem with state constraints and equality and inequality constraints on the trajectory endpoints is considered. A weakened maximum principle is obtained for problems with data measurable in the time variable, being the time transversality conditions deduced with the help of some extra convexity assumption on the state constraints. In the case of smooth problems a nondegenerate maximum principle is derived by using a penalty function method.