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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Name:	finite_infinite_turnpike_V2.pdf
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Available under License	German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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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
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:	28 Mar 2019 10:38
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]

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