Controllability on Sl(2, ℂ) with restricted controls

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Type:	Artigo
Title:	Controllability on Sl(2, ℂ) with restricted controls
Title Alternative:
Author:	Ayala, Victor Ribeiro Jr., Rodolfo San Martin, Luiz A. B.
Abstract:	In this paper we study controllability of affine invariant control systems on the group Sl(2, C) with restricted controls. We develop a method based on the action of Sl(2, ℂ) on the sphere S2 ≈ ℂ ∪ {∞} by Möbius functions. Some controllability results are proved. It is proved also that controllability with restricted controls is not a generic property, contrary to the case of unrestricted controls, as proved in the classic paper by Jurdjevic and Kupka. © 2014 Society for Industrial and Applied Mathematics. In this paper we study controllability of affine invariant control systems on the group Sl(2, C) with restricted controls. We develop a method based on the action of Sl(2, C) on the sphere S2 ≈ C ∪ {∞} by M¨obius functions. Some controllability results ar
Subject:	Controlabilidade Lie, Grupos de
Country:	Estados Unidos
Editor:	Society for Industrial and Applied Mathematics
Citation:	Siam Journal On Control And Optimization. Society For Industrial And Applied Mathematics Publications, v. 52, n. 4, p. 2548 - 2567, 2014.
Rights:	aberto Aberto
Identifier DOI:	10.1137/130943662
Address:	https://epubs.siam.org/doi/10.1137/130943662
Date Issue:	2014
Appears in Collections:	IMECC - Artigos e Outros Documentos

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