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Local turnpike properties in finite horizon optimal control
Publikationstyp
Conference Paper
Date Issued
2023-01-01
Sprache
English
Author(s)
Start Page
5273
End Page
5278
Citation
62nd IEEE Conference on Decision and Control (CDC 2023)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
IEEE
ISSN
07431546
ISBN of container
9798350301243
In optimal control, it is well known that near-optimal trajectories exhibit a turnpike property if the system is strictly dissipative at the considered equilibrium and additional technical conditions are satisfied. In this paper we extend this result to a system which is merely locally strictly dissipative. For the special case of locally positive definite stage costs we show that there exists upper and lower bounds on the optimization horizon for which a local turnpike property becomes visible. For locally strictly dissipative costs we show that the same holds under a condition on the leaving arc of the local turnpike property. Our theoretical findings are illustrated by numerical examples.
DDC Class
510: Mathematics