Linear systems on Lie groups and almost-Riemannian structures
An approach for parameterization of equivalent dynamic models of microgrids
Probabilistic and algebraic aspects of smooth dynamical systems
| Full text | |
| Author(s): |
Ayala, Victor
;
Da Silva, Adriano
;
Zsigmond, Guilherme
Total Authors: 3
|
| Document type: | Journal article |
| Source: | NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS; v. 24, n. 1 FEB 2017. |
| Web of Science Citations: | 6 |
| Abstract | |
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) | |
| 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 |