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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 2, Pages 47–52 (Mi vmumm4459)  
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Variation of the size of reachable region of second-order linear system

D. I. Bugrova, M. I. Bugrovab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Bauman Moscow State Technical University
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Abstract: We consider a linear time-invariant completely controllable second-order system, all the eigenvalues of this system are different and have negative real parts. The control is considered to be a scalar piecewise continuous function bounded in absolute value. The size of the reachable region is defined as the maximum absolute value of the coordinates of the points of the reachable region on the phase plane. A monotonic dependence of the size of the reachable region on the parameters of the system is shown.
Key words: reachable region, linear time-invariant system, scalar control.
Funding agency Grant number
World-class Scientific center Supersonic 2744-р
The work is prepared within the Program for Creating and Developing the World-Level Research Center Hypersound in 2020–2025 under the support of the Ministry of Education and Science of the Russian Federation (Government Decree no. 2744-r of October 24, 2020).
Received: 22.10.2021
English version:
Moscow University Mechanics Bulletin, 2022, Volume 77, Issue 2, Pages 47–52
DOI: https://doi.org/10.3103/S0027133022020029
Bibliographic databases:
Document Type: Article
UDC: 531.396
Language: Russian
Citation: D. I. Bugrov, M. I. Bugrova, “Variation of the size of reachable region of second-order linear system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 2, 47–52; Moscow University Mechanics Bulletin, 77:2 (2022), 47–52
Citation in format AMSBIB
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\by D.~I.~Bugrov, M.~I.~Bugrova
\paper Variation of the size of reachable region of second-order linear system
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 2
\pages 47--52
\mathnet{http://mi.mathnet.ru/vmumm4459}
\zmath{https://zbmath.org/?q=an:1501.93014}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2022
\vol 77
\issue 2
\pages 47--52
\crossref{https://doi.org/10.3103/S0027133022020029}
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