Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 6, Pages 51–55 (Mi vmumm195)  
This article is cited in 1 scientific paper (total in 1 paper)

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Estimation of the attainability set for a linear system based on a linear matrix inequality

D. I. Bugrov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The problem considered is the construction of reachability set's internal approximation for a full controllable linear time-invariant system. This approximation is obtained as an intersection of two areas governed by quadratic forms. One of these forms is based on parameters of the system under consideration. The other form is produced by the solution of some linear matrix inequality. The method proposed is illustrated by a numerical example.
Key words: reachability set, linear time-invariant system, linear matrix inequality, internal approximation.
Funding agency Grant number
Russian Science Foundation 14-50-00029
Russian Foundation for Basic Research 16-01-00683
Received: 09.12.2015
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 6, Pages 253–256
DOI: https://doi.org/10.3103/S0027132216060061
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: D. I. Bugrov, “Estimation of the attainability set for a linear system based on a linear matrix inequality”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 6, 51–55; Moscow University Mathematics Bulletin, 71:6 (2016), 253–256
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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