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    Second-order necessary and sufficient optimality conditions for optimization problems and applications to control theory

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    Identificadores
    URI: http://hdl.handle.net/10902/1987
    DOI: 10.1137/S1052623400367698
    ISSN: 1095-7189
    ISSN: 1052-6234
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    Author
    Casas Rentería, Eduardo; Tröltzsch, Fredi
    Date
    2002
    Abstract

    This paper deals with a class of nonlinear optimization problems in a function space, where the solution is restricted by pointwise upper and lower bounds and by finitely many equality and inequality constraints of functional type. Second-order necessary and sufficient optimality conditions are established, where the cone of critical directions is arbitrarily close to the form which is expected from the optimization in finite dimensional spaces. The results are applied to some optimal control problems for ordinary and partial differential equations.

    Palabras clave
    Necessary and sufficient optimality conditions
    Control of differential equations
    State constraints
    Derechos
    © 2002 Society for Industrial and Applied Mathematics
    Publicado en
    SIAM Journal on Optimization, 2002, 13(2), 406–431
    Publisher
    Society for Industrial and Applied Mathematics
    Collections to which it belong
    • D20 Artículos [181]

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    UNIVERSIDAD DE CANTABRIA

    Repositorio realizado por la Biblioteca Universitaria utilizando DSpace software
    Contact Us | Send Feedback
    Metadatos sujetos a:licencia de Creative Commons Reconocimiento 3.0 España