Inferring the adjoint turnpike property from the primal turnpike property

Publikationstyp
Conference Paper
Date Issued
2021
Sprache
English
Author(s)
Faulwasser, Timm  
Grüne, Lars  
Humaloja, Jukka Pekka
Schaller, Manuel
TORE-URI
https://hdl.handle.net/11420/46189
Volume
2021-December
Start Page
2578
End Page
2583
Citation
Proceedings of the 60th IEEE Conference on Decision and Control 2021: 2578-2583 (2021)
Contribution to Conference
60th IEEE Conference on Decision and Control, CDC 2021  
Publisher DOI
10.1109/CDC45484.2021.9683079
Scopus ID
2-s2.0-85126043281
Publisher
IEEE
ISBN
9781665436595
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.
Subjects
Generators
Heating systems
Optimal control
DDC Class
333.7: Natural Resources, Energy and Environment
004: Computer Sciences
510: Mathematics