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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
. - S. 2578-2583
DOI: https://doi.org/10.1109/CDC45484.2021.9683079
Volltext
Angaben zu Projekten
| Projektfinanzierung: |
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
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.