| dc.contributor.author | Casas Rentería, Eduardo | |
| dc.contributor.author | Wachsmuth, Daniel | |
| dc.contributor.author | Wachsmuth, Gerd | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2018-11-23T08:13:51Z | |
| dc.date.available | 2018-11-23T08:13:51Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0363-0129 | |
| dc.identifier.issn | 1095-7138 | |
| dc.identifier.other | MTM2014-57531-P | es_ES |
| dc.identifier.other | MTM2017-83185-P | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10902/15023 | |
| dc.description.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. | es_ES |
| dc.description.sponsorship | 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. | es_ES |
| dc.format.extent | 25 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Society for Industrial and Applied Mathematics | es_ES |
| dc.rights | © Society for Industrial and Applied Mathematics | es_ES |
| dc.source | SIAM Journal on Control and Optimization, 2018, 56(6), 4203-4227 | es_ES |
| dc.subject.other | Bang-bang control | es_ES |
| dc.subject.other | Bilinear controls | es_ES |
| dc.subject.other | Second-order conditions | es_ES |
| dc.subject.other | Sufficient optimality conditions | es_ES |
| dc.subject.other | Error analysis | es_ES |
| dc.title | Second-order analysis and numerical approximation for bang-bang bilinear control problems | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1137/17M1139953 | |
| dc.type.version | publishedVersion | es_ES |
