One establishes some convexity criteria for sets in . They will be applied in a further Note to treat the existence of solutions to minimum time problems for certain Lagrangian systems referred to two coordinates, one of which is used as a control. These problems regard the swing or the ski.
Si stabiliscono dei criteri di convessità per insiemi in . Essi verranno applicati in una prossima Nota per trattare l'esistenza di soluzioni di problemi di tempo minimo per certi insiemi meccanici riferiti a due coordinate, una delle quali è usata come controllo. Tali problemi riguardano l'altalena o lo sci.
@article{RLIN_1994_9_5_3_247_0,
author = {Aldo Bressan and Monica Motta},
title = {On control problems of minimum time for Lagrangian systems similar to a swing. I. Convexity criteria for sets},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {5},
year = {1994},
pages = {247-254},
zbl = {0814.70019},
mrnumber = {1298268},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_1994_9_5_3_247_0}
}
Bressan, Aldo; Motta, Monica. On control problems of minimum time for Lagrangian systems similar to a swing. I. Convexity criteria for sets. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 5 (1994) pp. 247-254. http://gdmltest.u-ga.fr/item/RLIN_1994_9_5_3_247_0/
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