{"title":"Dependence of the Size of the Reachable Set on Parameters in a Second-Order Linear System","authors":"A. S. Klyuev","doi":"10.3103/S0027133024700237","DOIUrl":null,"url":null,"abstract":"<p>The oscillating linear time-invariant system of second order with time-varying bounded control is considered. The reachable set size is studied with respect to bounded parameters of the system. The reachable set size is characterized by a distance from the origin to the most or least distant point of the set in the Euclidean norm. For one case study, the set size is found to be monotonous in all parameters of the system.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 5","pages":"172 - 177"},"PeriodicalIF":0.3000,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mechanics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027133024700237","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: 0
Abstract
The oscillating linear time-invariant system of second order with time-varying bounded control is considered. The reachable set size is studied with respect to bounded parameters of the system. The reachable set size is characterized by a distance from the origin to the most or least distant point of the set in the Euclidean norm. For one case study, the set size is found to be monotonous in all parameters of the system.
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.
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