Title data
Krügel, Lisa ; Faulwasser, Timm ; Grüne, Lars:
Local Turnpike Properties in Finite Horizon Optimal Control.
In:
62nd IEEE Conference on Decision and Control (CDC) 2023. 
Singapore
,
2023
.  pp. 52735278
DOI: https://doi.org/10.1109/CDC49753.2023.10383850
This is the latest version of this item.
Project information
Project title: 
Project's official title Project's id Analyse der Regelgüte für verteilte und multikriterielle Modellprädiktive Regelung — Die Rolle von Paretofronten, multikriterieller Dissipativität und mehrfachen Gleichgewichten 244602989 

Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
In optimal control, it is well known that nearoptimal 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.
Further data
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Local Turnpike Properties in Finite Horizon Optimal Control. (deposited 01 Apr 2023 21:00)
 Local Turnpike Properties in Finite Horizon Optimal Control. (deposited 01 Mar 2024 07:38) [Currently Displayed]