Displaying similar documents to “Discontinuous Hamiltonian flows for nonlinear control system.”

Smooth optimal synthesis for infinite horizon variational problems

Andrei A. Agrachev, Francesca C. Chittaro (2009)

ESAIM: Control, Optimisation and Calculus of Variations

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We study Hamiltonian systems which generate extremal flows of regular variational problems on smooth manifolds and demonstrate that negativity of the generalized curvature of such a system implies the existence of a global smooth optimal synthesis for the infinite horizon problem. We also show that in the Euclidean case negativity of the generalized curvature is a consequence of the convexity of the Lagrangian with respect to the pair of arguments. Finally, we give a generic classification...