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Type: Artigo de periódico
Title: Chain control sets for semigroup actions
Author: Barros, CJB
SanMartin, LAB
Abstract: Let S be a semigroup of self-maps of a state space M. Our purpose here is to study the subsets of M which correspond, under the action of S, to the chain control sets for control systems [4]. We consider only the specific case where S is a subsemigroup of a Lie group G which acts transitively on M. The formal definition of the chain control sets for S requires a family F of subsets of S, and when specialized to a control semigroup recovers its original form. It is shown, under broad conditions, that a chain control set is the intersection of control sets for the semigroups generated by the neighborhoods of the subsets in F. prove, for the chain control sets, results similar to
Subject: semigroups
control sets
chain control sets
semi-simple Lie groups
flag manifolds
Country: Brasil
Editor: Soc Brasileira Matematica Aplicada & Computacional
Rights: aberto
Date Issue: 1996
Appears in Collections:Unicamp - Artigos e Outros Documentos

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