| Texto completo | |
| Autor(es): |
Rodrigues, Bruno A.
;
San Martin, Luiz A. B.
;
Santana, Alexandre J.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Mathematics of Control, Signals, and Systems (MCSS); v. 34, n. 2, p. 12-pg., 2022-02-11. |
| Resumo | |
Let Sl (n, H) be the Lie group of n x n quaternionic matrices g with vertical bar det g vertical bar = 1. We prove that a subsemigroup S subset of Sl (n, H) with nonempty interior is equal to Sl (n, H) if S contains a special subgroup isomorphic to Sl (2, H). From this, we give sufficient conditions on A, B is an element of sl (n, H) to ensure that the invariant control system (g)over dot = Ag + uBg is controllable on Sl (n, H). We prove also that these conditions are generic in the sense that we obtain an open and dense set of controllable pairs (A, B) is an element of sl (n, H)(2). (AU) | |
| Processo FAPESP: | 18/13481-0 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos |
| Beneficiário: | Marco Antônio Teixeira |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |