On Stability of the Inverted Pendulum Motion with a Vibrating Suspension Point
- 作者: Demidenko G.1,2, Dulepova A.2
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隶属关系:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- 期: 卷 12, 编号 4 (2018)
- 页面: 607-618
- 栏目: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213107
- DOI: https://doi.org/10.1134/S1990478918040026
- ID: 213107
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详细
Under study is the stability of the inverted pendulum motion whose suspension point vibrates according to a sinusoidal law along a straight line having a small angle with the vertical. Formulating and using the contracting mapping principle and the criterion of asymptotic stability in terms of solvability of a special boundary value problem for the Lyapunov differential equation, we prove that the pendulum performs stable periodic movements under sufficiently small amplitude of oscillations of the suspension point and sufficiently high frequency of oscillations.
作者简介
G. Demidenko
Sobolev Institute of Mathematics; Novosibirsk State University
编辑信件的主要联系方式.
Email: demidenk@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
A. Dulepova
Novosibirsk State University
Email: demidenk@math.nsc.ru
俄罗斯联邦, ul. Pirogova 2, Novosibirsk, 630090