Tilting theory, matrix problems and representations of linear groups
Linear systems on Lie groups and almost-Riemannian structures
Artificial intelligence as a tool for identifying biomarkers for clinical monitori...
| Full text | |
| Author(s): |
Da Silva, Adriano
;
Grama, Lino
;
Robles, Alejandro
Total Authors: 3
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 44, n. 9, p. 33-pg., 2024-03-24. |
| Abstract | |
In this article, we completely describe the control sets of one -input linear control systems on solvable, nonnilpotent 3D Lie groups. We show that, if the restriction of the associate derivation to the nilradical is nontrivial, the Lie algebra rank condition is enough to assure the existence of a control set with a nonempty interior. Moreover, such a control set is unique and, up to conjugations, given as a cylinder of the state space. On the other hand, if such a restriction is trivial, one can obtain an infinite number of control sets with empty interiors or even controllability, depending on the group considered. (AU) | |
| FAPESP's process: | 18/13481-0 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |