Boundedness control sets for linear systems on Lie groups

Autor: Ayala Víctor, Todco María Torreblanca
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Open Mathematics, Vol 16, Iss 1, Pp 370-379 (2018)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2018-0035
Popis: Let Σ be a linear system on a connected Lie group G and assume that the reachable set 𝓐 from the identity element e ∈ G is open. In this paper, we give an algebraic condition to warrant the boundedness of the existent control set with a nonempty interior containing e. We concentrate the search for the class of decomposable groups which includes any solvable group and also every compact semisimple group.
Databáze: Directory of Open Access Journals