On the Stabilization of a Generalized Lagrange-Poisson Problem

Authors

J. A. Vera, Centro Universitario de la Defensa. Academia General del Aire. Universidad Polit´ecnica de Cartagena, 30720-Santiago de la Ribera, Regi´on de Murcia, SpainFollow

Author Country (or Countries)

Spain

Abstract

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.

Recommended Citation

A. Vera, J. (2023) "On the Stabilization of a Generalized Lagrange-Poisson Problem," Applied Mathematics & Information Sciences: Vol. 09: Iss. 5, Article 16.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss5/16