Infinite Horizon Optimal Control Problems in the Light of Convex Analysis in Hilbert Spaces

  • In this paper a class of linear-quadratic infinite horizon optimal control problems is considered. Problems of this type are not only of practical interest. They also appear as an approximation of nonlinear problems. The key idea is to introduce weighted Sobolev spaces as state space and weighted Lebesgue spaces as control spaces into the problem setting. We investigate the question of existence of an optimal solution in these spaces and establish a Pontryagin type Maximum Principle as a necessary optimality condition including transversality conditions.

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Metadaten
Author: Sabine PickenhainGND
DOI:https://doi.org/10.1007/s11228-014-0304-5
ISSN:1877-0533
ISSN:1877-0541
Title of the source (English):Set-Valued and Variational Analysis
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2015
Tag:Infinite horizon; Optimal control; Pontryagin’s Maximum Principle
Volume/Year:23
Issue number:1
First Page:169
Last Page:189
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Mathematik insbesondere Optimierung
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