Geodesic
On motions with bursting characters for Lagrangian mechanical systems with a scalar control. II. A geodesic property of motions with bursting characters for Lagrangian systems
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 3 (1992) no. 1, pp. 35-42

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

This Note is the continuation of a previous paper with the same title. Here (Part II) we show that for every choice of the sequence \( u_{a}(\cdot) \), \( \Sigma_{a}\)'s trajectory \( l_{a} \) after the instant \( d + \eta{a} \) tends in a certain natural sense, as \( a \to \infty \), to a certain geodesic \( l \) of \( V_{d} \), with origin at \( (\bar{q},\bar{u}) \). Incidentally \( l \) is independent of the choice of applied forces in a neighbourhood of \( (\bar{q},\bar{u}) \) arbitrarily prefixed. 
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     author = {Bressan, Aldo and Favretti, Marco},
     title = {On motions with bursting characters for {Lagrangian} mechanical systems with a scalar control. {II.} {A} geodesic property of motions with bursting characters for {Lagrangian} systems},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {35--42},
     publisher = {mathdoc},
     volume = {Ser. 9, 3},
     number = {1},
     year = {1992},
     zbl = {0799.70009},
     mrnumber = {MR1159997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1992_9_3_1_a3/}
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Bressan, Aldo; Favretti, Marco. On motions with bursting characters for Lagrangian mechanical systems with a scalar control. II. A geodesic property of motions with bursting characters for Lagrangian systems. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 3 (1992) no. 1, pp. 35-42. http://geodesic.mathdoc.fr/item/RLIN_1992_9_3_1_a3/