3-parametric robot manipulator with intersecting axes

Jerzy Gądek

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

Aldo Bressan, Marco Favretti (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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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 $u_{a} (\cdot)$ , $Σ_{a}$ 's trajectory $l_{a}$ after the instant $d + η a$ 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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