San Martin, Luiz Antonio Barrera (1986) Invariant control sets on fibre bundles. PhD thesis, University of Warwick.

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Abstract

This thesis deals with invariant control sets on fibre bundles. Although the context is nonlinear control theory, problems relevant to stochastic analysis are treated. It is divided in seven paragraphs or sections. §0. contains the basic notions used throughout §1. is to prove a theorem on the accessibility property of control systems which is needed subsequently. §§2 and 3 deals with invariant control sets on fibre bundles. A method to handle them is developed. §§4,5 and 6 gives reality to the method of §§2 and 3 by analyzing invariant control sets on homogeneous spaces. §4. includes also a theorem on the controllability of semi-groups on semi-simple Lie groups.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Fiber bundles (Mathematics), Nonlinear control theory, Stochastic analysis
Official Date:	December 1986
Dates:	Date Event December 1986 UNSPECIFIED
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Kumpera, Antonio
Sponsors:	CAPES (Organization : Brazil) ; Universidade Estadual de Campinas
Extent:	1 volume (various pagings)
Language:	eng

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