J. Geometric Mech., 2018, Volume 10, Issue 4, Pages 411–417
On motions without falling of an inverted pendulum with dry friction
Steklov Mathematical Institute of the Russian Academy of Sciences
An inverted planar pendulum with horizontally moving pivot point is considered. It is assumed that the law of motion of the pivot point is given and the pendulum is moving in the presence of dry friction. Sucient conditions for the existence of solutions along which the pendulum never falls below the horizon are presented. The proof is based on the fact that solutions of the corresponding di erential inclusion are right-unique and continuously depend on initial conditions, which is also shown in the paper.
|Russian Science Foundation
|This work was supported by the Russian Science Foundation under Grant No. 14-50-00005.
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|