| Texto completo | |
| Autor(es): |
Ayala, Victor
;
Da Silva, Adriano
;
Zsigmond, Guilherme
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS; v. 24, n. 1 FEB 2017. |
| Citações Web of Science: | 6 |
| Resumo | |
Like in the classical linear Euclidean system, we would like to characterize for a linear control system on a connected Lie group G its control set with nonempty interior that contains the identity of G. We show that many topological properties of this control set are intrinsically connected with the eigenvalues of a derivation associated to the drift of the system. In particular, we prove that if G is a decomposable Lie group there exists only one control set with nonempty interior for the whole linear system. Furthermore, for nilpotent Lie groups we characterize when this set is bounded. (AU) | |
| Processo FAPESP: | 13/19756-8 - Entropia invariante para a ação de semigrupos em espaços homogêneos |
| Beneficiário: | Adriano João da Silva |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |