Geometry of Control-Affine Systems

Motivated by control-affine systems in optimal control theory, we introduce the notion of a point-affine distribution on a manifold X – i.e., an affine distribution F together with a distinguished vector field contained in F. We compute local invariants for point-affine distributions of constant typ...

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Bibliographic Details
Main Authors: Jeanne N. Clelland, Christopher G. Moseley, George R. Wilkens
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.095