We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an explicit integration of the adjoint equation in Pontryagin maximum principle. It turns out that abnormal extremals are precisely the horizontal curves contained in algebraic varieties of a specific type. We also extend the results to the nonfree case. © 2013 Springer Basel.
Extremal Curves in Nilpotent Lie Groups
Le Donne, Enrico;Monti, Roberto;Vittone, Davide
2013-01-01
Abstract
We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an explicit integration of the adjoint equation in Pontryagin maximum principle. It turns out that abnormal extremals are precisely the horizontal curves contained in algebraic varieties of a specific type. We also extend the results to the nonfree case. © 2013 Springer Basel.File in questo prodotto:
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