On impulsive isoenergetic control in systems with gyroscopic forces

We consider the problem of transfer of a Lagrangian system with gyroscopic forces to a given state in the configuration space by means of an impulsive isoenergetic control. This type of control can change instantly the direction of the generalized velocity, but preserve the total energy of the syste...

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Veröffentlicht in:International journal of non-linear mechanics 2018-04, Vol.100, p.1-5
1. Verfasser: Polekhin, Ivan
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the problem of transfer of a Lagrangian system with gyroscopic forces to a given state in the configuration space by means of an impulsive isoenergetic control. This type of control can change instantly the direction of the generalized velocity, but preserve the total energy of the system. We present sufficient conditions for global controllability by a finite number of impulsive switchings, and some results related to the estimation of this number.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2018.01.001