| Full text | |
| Author(s): |
Ayala, Victor
;
Da Silva, Adriano
;
San Martin, Luiz A. B.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 37, n. 5, p. 2301-2313, MAY 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
A right-invariant control system Sigma on a connected Lie group G induce affine control systems Sigma(Theta) on every flag manifold F-Theta = G/P-Theta. In this paper we show that the chain control sets of the induced systems coincides with their analogous one defined via semigroup actions. Consequently, any chain control set of the system contains a control set with nonempty interior and, if the number of the control sets with nonempty interior coincides with the number of the chain control sets, then the closure of any control set with nonempty interior is a chain control set. Some relevant examples are included. (AU) | |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 16/11135-2 - Linear systems on Lie groups and almost-Riemannian structures |
| Grantee: | Adriano João da Silva |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/19756-8 - Invariance entropy for semigroups actions in homogeneous spaces |
| Grantee: | Adriano João da Silva |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |