A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition
| dc.contributor.author | Andreani, Roberto | |
| dc.contributor.author | de Oliveira, Valeriano Antunes [UNESP] | |
| dc.contributor.author | Pereira, Jamielli Tomaz | |
| dc.contributor.author | Silva, Geraldo Nunes [UNESP] | |
| dc.contributor.institution | Universidade Estadual de Campinas (UNICAMP) | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2021-06-25T11:06:21Z | |
| dc.date.available | 2021-06-25T11:06:21Z | |
| dc.date.issued | 2020-09-01 | |
| dc.description.abstract | Necessary optimality conditions for optimal control problems with mixed state-control equality constraints are obtained. The necessary conditions are given in the form of a weak maximum principle and are obtained under (i) a new regularity condition for problems with mixed linear equality constraints and (ii) a constant rank type condition for the general non-linear case. Some instances of problems with equality and inequality constraints are also covered. Illustrative examples are presented. | en |
| dc.description.affiliation | Department of Applied Mathematics State University of Campinas (Unicamp), Rua Sérgio Buarque de Holanda, N. 651 | |
| dc.description.affiliation | Department of Applied Mathematics São Paulo State University (Unesp), Rua Cristóvão Colombo, N. 2265 | |
| dc.description.affiliationUnesp | Department of Applied Mathematics São Paulo State University (Unesp), Rua Cristóvão Colombo, N. 2265 | |
| dc.format.extent | 1021-1047 | |
| dc.identifier | http://dx.doi.org/10.1093/imamci/dnz036 | |
| dc.identifier.citation | IMA Journal of Mathematical Control and Information, v. 37, n. 3, p. 1021-1047, 2020. | |
| dc.identifier.doi | 10.1093/imamci/dnz036 | |
| dc.identifier.issn | 1471-6887 | |
| dc.identifier.issn | 0265-0754 | |
| dc.identifier.scopus | 2-s2.0-85094909244 | |
| dc.identifier.uri | http://hdl.handle.net/11449/208100 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | IMA Journal of Mathematical Control and Information | |
| dc.source | Scopus | |
| dc.subject | Constant rank | |
| dc.subject | Mixed constraints | |
| dc.subject | Weak maximum principle | |
| dc.title | A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition | en |
| dc.type | Artigo | |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática Aplicada - IBILCE | pt |