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math.OC2007
On Zermelo'-like problems: a Gauss-Bonnet inequality and a E. Hopf theorem
Ulysse Serres
The goal of this paper is to describe Zermelo's navigation problem on Riemannian manifolds as a time-optimal control problem and give an efficient method in order to evaluate its c…
math.OC2005
On curvature and feedback classification of two-dimensional optimal control systems
Ulysse Serres
The goal of this paper is to extend to two-dimensional optimal control systems with scalar input the classical notion of Gaussian curvature of two-dimensional Riemannian surface us…