V. V. Aleksandrov, D. I. Bugrov, V. N. Zhermolenko, I. S. Konovalenko
{"title":"Attainability Set and Robust Stability of Perturbed Oscillatory Systems","authors":"V. V. Aleksandrov, D. I. Bugrov, V. N. Zhermolenko, I. S. Konovalenko","doi":"10.3103/S0027133021010027","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 1","pages":"30 - 34"},"PeriodicalIF":0.3000,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mechanics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027133021010027","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 3
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.
期刊介绍:
Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.