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Attainability Set and Robust Stability of Perturbed Oscillatory Systems
Moscow University Mechanics Bulletin Pub Date : 2021-07-06 , DOI: 10.3103/s0027133021010027
V. V. Aleksandrov 1 , D. I. Bugrov 1 , V. N. Zhermolenko 2 , I. S. Konovalenko 3
Affiliation  

Abstract

The second-order oscillatory system with constant coefficients in the presence of a time-varying bounded external perturbation is considered. Extreme points of the limit cycle, the boundary of the attainability set, are determined. The limit cycle is used to obtain the quality estimates of the system robust stability against the time-varying perturbation.



中文翻译:

微扰振荡系统的可达性集和鲁棒稳定性

摘要

考虑在存在时变有界外部扰动的情况下具有恒定系数的二阶振荡系统。确定了极限环的极值点,即可达性集的边界。极限环用于获得系统对时变扰动的鲁棒稳定性的质量估计。

更新日期:2021-07-06
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