Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems
Optimization and Control
2017-07-24 v1
Abstract
We consider bilinear optimal control problems, whose objective functionals do not depend on the controls. Hence, bang-bang solutions will appear. We investigate sufficient second-order conditions for bang-bang controls, which guarantee local quadratic growth of the objective functional in . In addition, we prove that for controls that are not bang-bang, no such growth can be expected. Finally, we study the finite-element discretization, and prove error estimates of bang-bang controls in -norms.
Cite
@article{arxiv.1707.06880,
title = {Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems},
author = {Eduardo Casas and Daniel Wachsmuth and Gerd Wachsmuth},
journal= {arXiv preprint arXiv:1707.06880},
year = {2017}
}