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作者:

Aleksandrov, A. Yu (Aleksandrov, A. Yu.) | Aleksandrova, E. B. (Aleksandrova, E. B..) | Chen, Y. (Chen, Y..)

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摘要:

Certain classes of essentially nonlinear nonstationary systems are studied. With the aid of the Lyapunov direct method and the averaging technique, conditions are obtained under which the zero solutions of the considered systems are stable with respect to all variables and asymptotically stable with respect to a part of variables. It is shown that the proposed approach can be used for the stability analysis of equilibrium positions of nonlinear mechanical systems. Some examples are presented to demonstrate the effectiveness of our results.

关键词:

Nonlinear systems Nonstationary perturbations Lyapunov functions Averaging approach Mechanical systems Partial stability

作者机构:

  • [ 1 ] [Aleksandrov, A. Yu]St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
  • [ 2 ] [Aleksandrova, E. B.]St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
  • [ 3 ] [Chen, Y.]Beijing Univ Technol, Coll Metropolitan Transportat, 100 Pingleyuan, Beijing 100124, Peoples R China

通讯作者信息:

  • [Aleksandrov, A. Yu]St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia

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来源 :

NONLINEAR DYNAMICS

ISSN: 0924-090X

年份: 2016

期: 1

卷: 86

页码: 153-163

5 . 6 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:166

中科院分区:1

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 2

ESI高被引论文在榜: 0 展开所有

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