Stability and Genericity of Bang-Bang Controls in Affine Problems

Dominguez Corella A, Wachsmuth G (2024)

Publication Type: Journal article

Publication year: 2024

Journal

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

Book Volume: 62

Pages Range: 1669-1689

Journal Issue: 3

DOI: 10.1137/23M1586446

Abstract

We analyze 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. We employ Stegall's variational principle to prove that almost any linear perturbation leads to a bang-bang strict global minimizer. Examples are given to 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. SIAM Journal on Control and Optimization, 62(3), 1669-1689. https://doi.org/10.1137/23M1586446

MLA:

Dominguez Corella, Alberto, and Gerd Wachsmuth. "Stability and Genericity of Bang-Bang Controls in Affine Problems." SIAM Journal on Control and Optimization 62.3 (2024): 1669-1689.

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