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Inferring the adjoint turnpike property from the primal turnpike property

Title data

Faulwasser, Timm ; Grüne, Lars ; Humaloja, Jukka-Pekka ; Schaller, Manuel:
Inferring the adjoint turnpike property from the primal turnpike property.
In: Proceedings of the 2021 IEEE Conference on Decision and Control (CDC). - Austin, Texas, USA , 2021 . - pp. 2578-2583
DOI: https://doi.org/10.1109/CDC45484.2021.9683079

Official URL: Volltext

Project information

Project financing: Deutsche Forschungsgemeinschaft
DFG Grants GR 1569/17-1 and SCHI 1379/5-1
Academy of Finland Grant number 310489 and travel grant from the Magnus Ehrnrooth Foundation

Abstract in another language

This paper investigates an interval turnpike result for the adjoints/costates of finite- and infinite-dimensional nonlinear optimal control problems under the assumption of an interval turnpike on states and controls. We consider stabilizable dynamics governed by a generator of a semigroup with finite-dimensional unstable part satisfying a spectral decomposition condition and show the desired turnpike property under continuity assumptions on the first-order optimality conditions. We further provide a numerical example with a semilinear heat equation to illustrate the results.

Further data

Item Type: Article in a book
Refereed: Yes
Keywords: Turnpike property; primal turnpike; dual turnpike; costate
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
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 14 Feb 2022 10:20
Last Modified: 14 Feb 2022 10:20
URI: https://eref.uni-bayreuth.de/id/eprint/68677