In this work we consider the Hamiltonian dynamics of a generalized Lagrange–Poisson problem whose fixed point performs high-frequency vertical periodic oscillations of small amplitude. Using the generalized Kapitza averaging method we obtain a sufficient condition for stabilizing the unstable upright position.
A. Vera, J.
"On the Stabilization of a Generalized Lagrange-Poisson Problem,"
Applied Mathematics & Information Sciences: Vol. 09
, Article 16.
Available at: https://dc.naturalspublishing.com/amis/vol09/iss5/16