Optimal control of infinite dimensional bilinear systemsapplication to the heat and wave equations

Resumo

In this paper we consider second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linearly in the cost function. We derive first and second order optimality conditions, taking advantage of the Goh transform. We then apply the results to the heat and wave equations. © 2016, Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society.

Ficha do documento

Tipo

Artigo científico

Ano

2018

Instituição

Springer Verlag

Fonte

Repositório da FGV

Idioma

Inglês

Acesso

Acesso aberto

DOI

10.1007/s10107-016-1093-4

Identificador

oai:repositorio.fgv.br:10438/25125

Palavras-chave

Bilinear control systemsGoh transformHeat equationOptimal controlPartial differential equationsSecond-order optimality conditionsSemigroup theoryWave equationCost functionsLinear control systemsOptimal control systemsMatemáticaEquações diferenciais parciaisEquação de calorEquações de ondas não-lineares