@article{10902/15023,
year = {2018},
url = {http://hdl.handle.net/10902/15023},
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 secondorder conditions for bang-bang controls, which guarantee local quadratic growth of the objective functional in L1 . 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 L1 -norms.},
organization = {The first author was partially supported by the Spanish Ministerio de Economía Industria y Competitividad under research projects MTM2014-57531-P and MTM2017-83185-P. The second author was partially supported by DFG under grant Wa 3626/1-1.},
publisher = {Society for Industrial and Applied Mathematics},
publisher = {SIAM Journal on Control and Optimization, 2018, 56(6), 4203-4227},
title = {Second-order analysis and numerical approximation for bang-bang bilinear control problems},
author = {Casas Rentería, Eduardo and Wachsmuth, Daniel and Wachsmuth, Gerd},
}