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Existence Theorem for Infinite Horizon Optimal Control Problems with Mixed Control-State Isoperimetrical Constraint

  • In this paper a class of infinite horizon optimal control problems with a mixed control-state isoperimetrical constraint, also interpreted as a budget constraint, is considered. Herein a linear both in the state and in the control dynamics is allowed. The problem setting includes a weighted Sobolev space as the state space. For this class of problems, we establish an existence theorem. The proved theoretical result is applied to a mixed control-state budget constrained advertisement model.

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Metadaten
Author: Valeriya Lykina
DOI:https://doi.org/10.1007%2F978-3-319-73441-5_24
ISBN:978-3-319-73440-8
ISBN:978-3-319-73441-5
Title of the source (English):Large-Scale Scientific Computing, 11th International Conference, LSSC 2017, Sozopol, Bulgaria, June 5-9, 2017
Publisher:Springer
Place of publication:Cham
Document Type:Conference Proceeding
Language:English
Year of publication:2018
Tag:existence theorem; infinite horizon; weighted sobolev spaces
First Page:228
Last Page:236
Series ; volume number:Lecture notes in computer science ; 10665
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Mathematik insbesondere Optimierung
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