Geometry of Optimal Control for Control-Affine Systems

Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three. We compute local isometric invariants for point-affine distributions of constant type with metric structures...

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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 2013-04-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.034