具有非平稳势力的非线性机械系统稳定性分析

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI:10.1109/STAB49150.2020.9140552

A. Platonov

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引用次数: 6

摘要

本文研究了非线性耗散力、陀螺力和势能作用下机械系统的稳定性问题。假设在势能处存在一个非平稳的分段单调系数。分析中使用了单函数和多个李雅普诺夫函数。所考虑的方法允许推广先前获得的这类系统的已知结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability Analysis for Nonlinear Mechanical Systems with Non-stationary Potential Forces

In the paper, the stability problem for mechanical systems under the influence of nonlinear dissipative, gyroscopic and potential forces is investigated. It is assumed that there is a non-stationary piecewise monotone coefficient at potential forces. Both single and multiple Lyapunov functions are used for the analysis. Considered approach allows to generalize the known results obtained earlier for such classes of systems.

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2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)

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