Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 5, Pages 73–77
DOI: https://doi.org/10.55959/MSU0579-9368-1-65-5-10 (Mi vmumm4634) 		 
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Dependence of the size of attainability domain on parameters in a second order linear system

A. S. Klyuev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-65-5-10
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 set point in the Euclidean norm. For one case study, the set size was found to be monotonous with respect to all parameters of the system.
Key words: reachable set, linear time-invariant system.
Received: 18.12.2023
English version:
Moscow University Måchanics Bulletin, 2025, Volume 79, Issue 5, Pages 172–177
DOI: https://doi.org/10.3103/S0027133024700237
Bibliographic databases:
Document Type: Article
UDC: 531.396
Language: Russian
Citation: A. S. Klyuev, “Dependence of the size of attainability domain on parameters in a second order linear system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 5, 73–77; Moscow University Måchanics Bulletin, 79:5 (2025), 172–177
Citation in format AMSBIB
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\by A.~S.~Klyuev
\paper Dependence of the size of attainability domain on parameters in a second order linear system
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 5
\pages 73--77
\mathnet{http://mi.mathnet.ru/vmumm4634}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-65-5-10}
\elib{https://elibrary.ru/item.asp?id=72751207}
\transl
\jour Moscow University Måchanics Bulletin
\yr 2025
\vol 79
\issue 5
\pages 172--177
\crossref{https://doi.org/10.3103/S0027133024700237}
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