CONTROLLABILITY ON SL(2, C) WITH RESTRICTED CONTROLS

Ayala, Victor; Ribeiro, Jr., Rodolfo; San Martin, Luiz A. B.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

CONTROLLABILITY ON SL(2, C) WITH RESTRICTED CONTROLS

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Author(s):	Ayala, Victor ^[1] ; Ribeiro, Jr., Rodolfo ^[2] ; San Martin, Luiz A. B. ^[2] Total Authors: 3
Affiliation:	^[1] Univ Catolica Norte, Dept Matemat, Antofagasta - Chile ^[2] Univ Estadual Campinas, Inst Math, Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	SIAM JOURNAL ON CONTROL AND OPTIMIZATION; v. 52, n. 4, p. 2548-2567, 2014.
Web of Science Citations:	2
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 S-2 approximate to C boolean OR [infinity] by Mobius 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 {[}J. Differential Equations, 39 (1981), pp. 186-211]. (AU)

FAPESP's process:	12/18780-0 - Geometry of control systems, dynamical and stochastics systems
Grantee:	Marco Antônio Teixeira
Support Opportunities:	Research Projects - Thematic Grants

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