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Type: Artigo de periódico
Title: Controllability of control systems on complex simple lie groups and the topology of flag manifolds
Author: dos Santos, AL
San Martin, LAB
Abstract: Let S be a subsemigroup with nonempty interior of a connected complex simple Lie group G. It is proved that S = G if S contains a subgroup G(alpha) a parts per thousand Sl (2, ) generated by the exp , where is the root space of the root alpha. The proof uses the fact, proved before, that the invariant control set of S is contractible in some flag manifold if S is proper, and exploits the fact that several orbits of G(alpha) are 2-spheres not null homotopic. The result is applied to revisit a controllability theorem and get some improvements.
Subject: Controllability
simple Lie groups
flag manifolds
Country: EUA
Editor: Springer/plenum Publishers
Rights: fechado
Identifier DOI: 10.1007/s10883-013-9168-5
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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