Stability and genericity of bang-bang controls in affine problems

Dominguez Corella A, Wachsmuth G (2024)

Publication Language: English

Publication Status: Accepted

Publication Type: Unpublished / Preprint

Future Publication Type: Journal article

Publication year: 2024

Journal

SIAM Journal on Control and Optimization Society for Industrial and Applied Mathematics

Publisher: SIAM Journal of Control and Optimization

DOI: 10.48550/arXiv.2307.05418

Open Access Link: https://doi.org/10.48550/arXiv.2307.05418

Abstract

We analyse the role of the bang-bang property in affine optimal control problems. We show that many essential stability properties of affine problems are only satisfied when minimizers are bang-bang. Moreover, we prove that almost any perturbation in an affine optimal control problem leads to a bang-bang strict global minimizer. We work in an abstract framework that allows to cover many problems in the literature of optimal control, this includes problems constrained by partial and ordinary differential equations. We give examples that show the applicability of our results to specific optimal control problems.

Authors with CRIS profile

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

Involved external institutions

Brandenburgische Technische Universität Cottbus-Senftenberg (BTU) DE Germany (DE)

How to cite

APA:

Dominguez Corella, A., & Wachsmuth, G. (2024). Stability and genericity of bang-bang controls in affine problems. (Unpublished, Accepted).

MLA:

Dominguez Corella, Alberto, and Gerd Wachsmuth. Stability and genericity of bang-bang controls in affine problems. Unpublished, Accepted. 2024.

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