Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/60583
Type: Artigo de periódico
Title: INVARIANT CONTROL SETS ON FLAG MANIFOLDS
Author: SANMARTIN, L
Abstract: Let G be a semisimple Lie group and let S subset-of G be a subsemigroup with nonempty interior. In this paper we study invariant control sets for the action of S on homogeneous spaces of G. These sets on the boundary manifolds of the group are characterized in terms of the semisimple elements contained in int S. From this characterization a result on controllability of control systems on semisimple Lie groups is derived. Invariant control sets for the action of S on the boundaries of larger groups GBAR with G subset-of GBAR are also studied. This latter case includes the action of S on the projective space and on the flag manifolds.
Subject: INVARIANT CONTROL SETS
SEMISIMPLE LIE GROUPS
FLAG MANIFOLDS
CONTROLLABILITY
SEMIGROUPS
Country: Inglaterra
Editor: Springer-verlag London Ltd
Rights: fechado
Date Issue: 1993
Appears in Collections:Unicamp - Artigos e Outros Documentos

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