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On the relation between turnpike properties for finite and infinite horizon optimal control problems

URN to cite this document: urn:nbn:de:bvb:703-epub-3186-9

Title data

Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On the relation between turnpike properties for finite and infinite horizon optimal control problems.
Bayreuth , 2017 . - 18 S.

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Project information

Project title:
Project's official title
Project's id
DFG-Projekt "Analyse der Regelgüte für verteilte und multikriterielle Modellprädiktive Regelung"
GR 1569/13-1
ARC Discovery Project
DP160102138
Project financing: Deutsche Forschungsgemeinschaft
ARC

Abstract

We show that, under appropriate regularity conditions, a finite horizon optimal control problem exhibits the turnpike property, if and only if its infinite horizon counterpart does. We prove the result for undiscounted and for discounted problems, and also provide a version, which incorporates quantitative information about the convergence rates.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen in:
Journal of Optimization Theory and Applications. Bd. 173 (2017) Heft 3 . - S. 727-745.
DOI: https://doi.org/10.1007/s10957-017-1103-6
Keywords: turnpike property; finite horizon optimal control; infinite horizon optimal control; optimal equilibrium
DDC Subjects: 500 Science > 510 Mathematics
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Research Institutions
Research Institutions > Central research institutes
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3186-9
Date Deposited: 07 Feb 2017 06:47
Last Modified: 27 May 2021 09:33
URI: https://epub.uni-bayreuth.de/id/eprint/3186

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