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.
This is the latest version of this item.
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 |
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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 |
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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 > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS) Research Institutions Research Institutions > Research Centres |
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 |
Available Versions of this Item
-
On the relation between turnpike properties for finite and infinite horizon optimal control problems. (deposited 28 Oct 2016 06:13)
- On the relation between turnpike properties for finite and infinite horizon optimal control problems. (deposited 07 Feb 2017 06:47) [Currently Displayed]