Controllability of control systems on complex simple lie groups and the topology of flag manifolds
| dc.contributor.author | Santos, Ariane Luzia dos [UNESP] | |
| dc.contributor.author | Martin, Luiz Antonio Barreira San | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2015-07-15T18:27:27Z | |
| dc.date.available | 2015-07-15T18:27:27Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | Let S be a subsemigroup with nonempty interior of a connected complex simple Lie group G. It is proved that S = G if S contains a subgroup G (α) ≈ Sl (2, C) generated by the exp g±α, where gα is the root space of the root α. The proof uses the fact, proved before, that the invariant control set of S is contractible in some flag manifold if S is proper, and exploits the fact that several orbits of G (α) are 2-spheres not null homotopic. The result is applied to revisit a controllability theorem and get some improvements. | en |
| dc.description.affiliation | Universidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Ciências da Educação, Faculdade de Ciências e Letras de Araraquara, Araraquara, Faculdade de Ciências e Letras - Unesp, Rodovia Araraquara-Jaú, Km 1, CEP 14800901, SP, Brasil | |
| dc.description.affiliationUnesp | Universidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Ciências da Educação, Faculdade de Ciências e Letras de Araraquara, Araraquara, Faculdade de Ciências e Letras - Unesp, Rodovia Araraquara-Jaú, Km 1, CEP 14800901, SP, Brasil | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorshipId | FAPESP:07/06896-5 | |
| dc.description.sponsorshipId | CNPq: 142536/2008-3 | |
| dc.description.sponsorshipId | CNPq: 303755/2009-1 | |
| dc.format.extent | 157-171 | |
| dc.identifier | http://link.springer.com/article/10.1007%2Fs10883-013-9168-5 | |
| dc.identifier.citation | Journal of Dynamical and Control Systems, v. 19, n. 2, p. 157-171, 2013. | |
| dc.identifier.doi | 10.1007/s10883-013-9168-5 | |
| dc.identifier.issn | 1079-2724 | |
| dc.identifier.lattes | 3231282086023916 | |
| dc.identifier.uri | http://hdl.handle.net/11449/124683 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Journal of Dynamical and Control Systems | |
| dc.relation.ispartofjcr | 0.693 | |
| dc.relation.ispartofsjr | 0,316 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Currículo Lattes | |
| dc.subject | Controllability | en |
| dc.subject | Simple Lie groups | en |
| dc.subject | Flag manifolds | en |
| dc.title | Controllability of control systems on complex simple lie groups and the topology of flag manifolds | en |
| dc.type | Artigo | |
| unesp.author.lattes | 3231282086023916[1] | |
| unesp.author.orcid | 0000-0002-4980-0805[1] | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Faculdade de Ciências e Letras, Araraquara | pt |
| unesp.department | Ciências da Educação | pt |