Stability and genericity of bang-bang controls in affine problems
Optimization and Control
2025-11-20 v2
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.
Keywords
Cite
@article{arxiv.2307.05418,
title = {Stability and genericity of bang-bang controls in affine problems},
author = {Alberto Domínguez Corella and Gerd Wachsmuth},
journal= {arXiv preprint arXiv:2307.05418},
year = {2025}
}