@article{10902/12164,
year = {2017},
url = {http://hdl.handle.net/10902/12164},
abstract = {We provide sufficient optimality conditions for optimal control problems with bang-bang controls. Building on a structural assumption on the adjoint state, we additionally need a weak second-order condition. This second-order condition is formulated with functions from an extended critical cone, and it is equivalent to a formulation posed on measures supported on the set where the adjoint state vanishes. If our sufficient optimality condition is satisfied, we obtain a local quadratic growth condition in L1(Ω)},
organization = {The first author was partially supported by the Spanish Ministerio de Economía y Competitividad under project MTM2014-57531-P. The second author was partially supported by the DFG under grant Wa 3626/1-1.},
publisher = {Society for Industrial and Applied Mathematics},
publisher = {SIAM Journal on Control and Optimization, 2017, 55(5), 3066-3090},
title = {Sufficient second-order conditions for bang-bang control problems},
author = {Casas Rentería, Eduardo and Wachsmuth, Daniel and Wachsmuth, Gerd},
}