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|Title:||Control Sets Of Linear Systems On Lie Groups|
Victor; Da Silva
|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.|
|Editor:||Springer Basel AG|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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