The turnpike property for mean-field optimal control problems

Gugat M, Herty M, Segala C (2024)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2024

Journal

European Journal of Applied Mathematics Cambridge University Press

Pages Range: 1-15

DOI: 10.1017/S0956792524000044

Abstract

We study the turnpike phenomenon for optimal control problems with mean-field dynamics that are obtained as
the limit N → ∞ of systems governed by a large number N of ordinary differential equations. We show that the
optimal control problems with large time horizons give rise to a turnpike structure of the optimal state and the
optimal control. For the proof, we use the fact that the turnpike structure for the problems on the level of ordinary
differential equations is preserved under the corresponding mean-field limit.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Additional Organisation(s)

Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE)

How to cite

APA:

Gugat, M., Herty, M., & Segala, C. (2024). The turnpike property for mean-field optimal control problems. European Journal of Applied Mathematics, 1-15. https://doi.org/10.1017/S0956792524000044

MLA:

Gugat, Martin, Michael Herty, and Chiara Segala. "The turnpike property for mean-field optimal control problems." European Journal of Applied Mathematics (2024): 1-15.

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