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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 11, Pages 1855–1864 (Mi zvmmf220)  
This article is cited in 4 scientific papers (total in 4 papers)

Guaranteed-accuracy approximation of reachable sets for a linear dynamic system subject to impulse actions

N. B. Brusnikinaa, A. V. Lotovb

a Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
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Abstract: A method is proposed for approximating the reachable set of a dynamic system with a state space dimension no higher than six-eight considered on a finite time interval. The system is governed by linear differential equations with piecewise constant coefficients and impulse actions specified at prescribed times. The method is based on guaranteed-accuracy polyhedral approximations of reachable sets at researcher-specified times. Every approximation is constructed using the preceding one. A procedure is described for choosing parameters of the method that ensure the required accuracy with close-to-minimal time costs.
Key words: linear dynamic systems, reachable sets, polyhedral approximation, guaranteed accuracy, optimization of approximation parameters.
Received: 05.03.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 11, Pages 1779–1787
DOI: https://doi.org/10.1134/S096554250711005X
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: N. B. Brusnikina, A. V. Lotov, “Guaranteed-accuracy approximation of reachable sets for a linear dynamic system subject to impulse actions”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007), 1855–1864; Comput. Math. Math. Phys., 47:11 (2007), 1779–1787
Citation in format AMSBIB
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\by N.~B.~Brusnikina, A.~V.~Lotov
\paper Guaranteed-accuracy approximation of reachable sets for a~linear dynamic system subject to impulse actions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 11
\pages 1855--1864
\mathnet{http://mi.mathnet.ru/zvmmf220}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2405030}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 11
\pages 1779--1787
\crossref{https://doi.org/10.1134/S096554250711005X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36448938342}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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