ERef Bayreuth

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

Title data

Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On the relation between turnpike properties for finite and infinite horizon optimal control problems.
In: Journal of Optimization Theory and Applications. Vol. 173 (2017) Issue 3 . - pp. 727-745.
ISSN 0022-3239
DOI: https://doi.org/10.1007/s10957-017-1103-6

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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 in another language

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 both undiscounted and discounted problems and also provide a version which incorporates quantitative information about the convergence rates.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Keywords:	turnpike property; finite horizon optimal control; infinite horizon optimal control; optimal equilibrium
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) > 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 Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS) Research Institutions Research Institutions > Research Centres
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	27 Mar 2017 11:48
Last Modified:	08 Feb 2019 10:51
URI:	https://eref.uni-bayreuth.de/id/eprint/36662

Available Versions of this Item

On the relation between turnpike properties for finite and infinite horizon optimal control problems. (deposited 29 Oct 2016 21:00)
- On the relation between turnpike properties for finite and infinite horizon optimal control problems. (deposited 07 Feb 2017 06:55)
  - On the relation between turnpike properties for finite and infinite horizon optimal control problems. (deposited 27 Mar 2017 11:48) [Currently Displayed]