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|Title:||Control Systems On Flag Manifolds And Their Chain Control Sets|
Control systems on flag manifolds and their chain control sets
Silva, Adriano da
San Martin, A. B.
|Abstract:||A right-invariant control system Sigma on a connected Lie group G induce affine control systems Sigma(Theta) on every flag manifold F-Theta = G/P-Theta. In this paper we show that the chain control sets of the induced systems coincides with their analogous one defined via semigroup actions. Consequently, any chain control set of the system contains a control set with nonempty interior and, if the number of the control sets with nonempty interior coincides with the number of the chain control sets, then the closure of any control set with nonempty interior is a chain control set. Some relevant examples are included.|
In this paper we shown that the chain control sets of induced systems on flag manifolds coincides with their analogous one defined via semigroup actions. Consequently, any chain control set of the system contains a control set with nonempty interior and,
Teoria do controle
Teoria dos conjuntos
|Editor:||American Institute of Mathematical Sciences|
|Citation:||Discrete And Continuous Dynamical Systems . Amer Inst Mathematical Sciences-aims, v. 37, p. 2301 - 2313, 2017.|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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