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|Type:||Artigo de periódico|
|Title:||Chain control sets for semigroup actions|
|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 . 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|
chain control sets
semi-simple Lie groups
|Editor:||Soc Brasileira Matematica Aplicada & Computacional|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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