Pontryagin's principle for local solutions of control problems with mixed control-sate constraints

This paper deals with optimal control problems of semilinear parabolic equations with pointwise state constraints and coupled integral state-control constraints. We obtain necessary optimality conditions in the form of a Pontryagin’s minimum principle for local solutions in the sense of Lp, p ≤ +∞....

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Detalles Bibliográficos
Autores: Casas Rentería, Eduardo|||0000-0002-8364-9416, Raymond, J. P., Zidani, H.
Tipo de recurso: artículo
Fecha de publicación:2000
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/1989
Acceso en línea:http://hdl.handle.net/10902/1989
Access Level:acceso abierto
Palabra clave:Optimal control
Nonlinear boundary controls
Semilinear parabolic equations
State constraints
Pontryagin’s minimum principle
Unbounded controls
Descripción
Sumario:This paper deals with optimal control problems of semilinear parabolic equations with pointwise state constraints and coupled integral state-control constraints. We obtain necessary optimality conditions in the form of a Pontryagin’s minimum principle for local solutions in the sense of Lp, p ≤ +∞.