8 citations · 36 across the 23 of their papers we have counts for
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math.DG2012★ 3 cited
Geometry of Optimal Control for Control-Affine Systems
Jeanne N. Clelland, Christopher G. Moseley, George R. Wilkens
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…
math.DG2012
A Tale of Two Arc Lengths: Metric notions for curves in surfaces in equiaffine space
Jeanne Clelland, Edward Estrada, Molly May +3
In Euclidean geometry, all metric notions (arc length for curves, the first fundamental form for surfaces, etc.) are derived from the Euclidean inner product on tangent vectors, an…