Turnpike phenomenon for averaged optimal control

Hernández Salinas M, Lazar M, Zamorano S (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Optimization Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis

DOI: 10.1080/02331934.2026.2615776

Abstract

Our main contribution in this article is to prove the turnpike property in both its integral and exponential forms for parameter-dependent systems with averaged optimal control. Specifically, under suitable assumptions about the matrices defining the system dynamics and the cost functional, we prove that the optimal control and state for the time-dependent problem converge, on average, to the optimal pair of the associated stationary problem. Furthermore, we quantify the proximity between these two optimal solutions, proving that, over a sufficiently long time interval, they remain exponentially close.

Authors with CRIS profile

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

Involved external institutions

University of Dubrovnik / Sveučilište u Dubrovniku

Croatia (HR) University of Deusto / Universidad de Deusto

Spain (ES)

How to cite

APA:

Hernández Salinas, M., Lazar, M., & Zamorano, S. (2026). Turnpike phenomenon for averaged optimal control. Optimization. https://doi.org/10.1080/02331934.2026.2615776

MLA:

Hernández Salinas, Martin, Martin Lazar, and Sebastián Zamorano. "Turnpike phenomenon for averaged optimal control." Optimization (2026).

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