Optimal feedback for perturbed bilinear control problems
type: Item
instance of: scholarly article
title: Optimal feedback for perturbed bilinear control problems
zbMATH Open document ID: 0629.49012
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108070
review text: Necessary optimality conditions for an optimal control problem in infinite dimension are derived. The cost function is Lipschitzian and the state equation is a perturbation with a maximal monotone operator of a bilinear equation. The idea of the proof consists in approximating the optimal control problem by a family of smooth problems for which the necessary optimality conditions are immediate and to pass to the limit. At the end, the existence of a feedback law is proved.
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 4024125
zbMATH Keywords: Necessary optimality conditions
zbMATH Keywords: optimal control problem in infinite dimension
zbMATH Keywords: bilinear equation
zbMATH Keywords: existence of a feedback law
author: Gheorghe Aniculăesei
reviewed by: Ovidiu Cârjă
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4024125