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Transitivity of linear control systems on Lie groups

dc.contributor.authorAyala, V.
dc.contributor.authorHacibekiroglu, A. K.
dc.contributor.authorKizil, E.
dc.contributor.authorZegarra, L. R.
dc.date.accessioned2026-06-27T12:59:24Z
dc.date.issued1999
dc.description.abstractIn this paper, we characterize the transitivity property of a linear control system Sigma on a connected Lie group G. The dynamic of Sigma is determined by the drift vector field which is an infinitesimal automorphism of G and by the control vectors which are elements of the Lie algebra L(G) of G. The Lie algebra rank condition which characterize transitivity does not determine controllability. We show this by an example on the simply connected nilpotent Heisenberg Lie group of dimension 3.en
dc.description.sponsorshipProyecto Fondecyt [1960641]
dc.description.sponsorshipProyecto M.E.M.I. Universidad Mayor de San Simon, Cochabamba, Bolivia
dc.identifier.eissn1807-0302
dc.identifier.endpage255
dc.identifier.issn0101-8205
dc.identifier.issue2
dc.identifier.startpage247
dc.identifier.urihttps://hdl.handle.net/20.500.14981/48639
dc.identifier.volume18
dc.identifier.wos000208765900006
dc.language.isoeng
dc.publisherSPRINGER HEIDELBERG
dc.relation.ispartofCOMPUTATIONAL & APPLIED MATHEMATICS
dc.subjectTransitivity
dc.subjectinfinitesimal automorphism
dc.subjectLie algebra rank condition
dc.subjectMathematics
dc.titleTransitivity of linear control systems on Lie groups
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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