Averaged observations and turnpike phenomenon for parameter-dependent systems

Hernández Salinas M, Lazar M, Zamorano S (2024)

Publication Language: English

Publication Status: Submitted

Publication Type: Unpublished / Preprint

Future Publication Type: Journal article

Publication year: 2024

Open Access Link: https://arxiv.org/abs/2404.17455

Abstract

Our main contribution in this article is the achievement of the turnpike property in its integral and exponential forms for parameter-dependent systems with averaged observations in the cost functional. Namely, under suitable assumptions with respect to the matrices that defined the dynamics and the cost functional, we prove that the optimal control and state for the evolutionary problem converge in average to the optimal pair of an associated stationary problem. Moreover, we characterize the closeness between these two optimal solutions, proving that over a large time interval, they are exponentially close.

Authors with CRIS profile

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

Involved external institutions

Universidad de Santiago de Chile (USACH) / University of Santiago, Chile CL Chile (CL) University of Dubrovnik / Sveučilište u Dubrovniku HR Croatia (HR)

How to cite

APA:

Hernández Salinas, M., Lazar, M., & Zamorano, S. (2024). Averaged observations and turnpike phenomenon for parameter-dependent systems. (Unpublished, Submitted).

MLA:

Hernández Salinas, Martin, Martin Lazar, and Sebastian Zamorano. Averaged observations and turnpike phenomenon for parameter-dependent systems. Unpublished, Submitted. 2024.

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