Pathwise turnpike and dissipativity results for discrete-time stochastic linear-quadratic optimal control problems

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Schießl, Jonas ; Ou, Ruchuan ; Faulwasser, Timm ; Baumann, Michael Heinrich ; Grüne, Lars:
Pathwise turnpike and dissipativity results for discrete-time stochastic linear-quadratic optimal control problems.
In: 2023 62nd IEEE Conference on Decision and Control (CDC). - Singapore, Singapore , 2023 . - S. 2790-2795
DOI: https://doi.org/10.1109/CDC49753.2023.10384081

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Abstract

We investigate pathwise turnpike behavior of discrete-time stochastic linear-quadratic optimal control problems. Our analysis is based on a novel strict dissipativity notion for such problems, in which a stationary stochastic process replaces the optimal steady state of the deterministic setting. The analytical findings are illustrated by a numerical example.