具有渐近稳定集的周期微分包含解的一致收敛性

Q3 Engineering

Advances in Systems Science and Applications Pub Date : 2021-03-31 DOI:10.25728/ASSA.2021.21.1.1037

M. Morozov

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引用次数: 0

摘要

本文考虑一个具有渐近稳定集的周期微分包含。建立了渐近稳定集解的一致收敛性。得到了状态向量中齐次周期微分包含解的指数估计。给出了考虑周期微分包含的控制系统的例子。这些结果可以应用于具有周期参数的控制系统的稳定性分析，特别是其元件在AC上操作的伺服机构、具有脉冲幅度调制的控制系统以及用于解决与研究铣床振动相关的问题的系统。

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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On Uniform Convergence Property of Solutions for Periodic Differential Inclusions with Asymptotically Stable Sets

The paper considers a periodic differential inclusion with an asymptotically stable set. The uniform character of convergence of solutions to an asymptotically stable set is established. An exponential estimate is obtained for solutions of a periodic differential inclusion homogeneous in state vector. Examples of control systems leading to consideration of periodic differential inclusions are given. These results can find applications in the stability analysis of control systems with periodic parameters, in particular, servomechanisms whose elements operate on AC, control systems with pulse amplitude modulation, and systems used to solve problems related to investigating vibrations of milling machines.

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来源期刊

Advances in Systems Science and Applications Engineering-Engineering (all)

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Advances in Systems Science and Applications (ASSA) is an international peer-reviewed open-source online academic journal. Its scope covers all major aspects of systems (and processes) analysis, modeling, simulation, and control, ranging from theoretical and methodological developments to a large variety of application areas. Survey articles and innovative results are also welcome. ASSA is aimed at the audience of scientists, engineers and researchers working in the framework of these problems. ASSA should be a platform on which researchers will be able to communicate and discuss both their specialized issues and interdisciplinary problems of systems analysis and its applications in science and industry, including data science, artificial intelligence, material science, manufacturing, transportation, power and energy, ecology, corporate management, public governance, finance, and many others.