Bressan, Aldo and Motta, Monica:
On control problems of minimum time for Lagrangian systems similar to a swing. I. Convexity criteria for sets (Su problemi di controllo di tempo minimo per sistemi Lagrangiani simili a un'altalena. I. Criteri di convessità per insiemi)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 5 (1994), fasc. n.3, p. 247-254, (English)
pdf (957 Kb), djvu (221 Kb). | MR1298268 | Zbl 0814.70019
Sunto
Si stabiliscono dei criteri di convessità per insiemi in \( R^{2} \). 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.
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Con il contributo del Ministero per i Beni e le Attività Culturali