CONTROLLABILITY ON SL(2, C) WITH RESTRICTED CONTROLS

Autor(es)

Ayala, Victor ^[1] ; Ribeiro, Jr., Rodolfo ^[2] ; San Martin, Luiz A. B. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Catolica Norte, Dept Matemat, Antofagasta - Chile

^[2] Univ Estadual Campinas, Inst Math, Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: SIAM JOURNAL ON CONTROL AND OPTIMIZATION; v. 52, n. 4, p. 2548-2567, 2014.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 12/18780-0 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
• Beneficiário: Marco Antônio Teixeira
• Modalidade de apoio: Auxílio à Pesquisa - Temático