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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 3, Pages 366–378 (Mi zvmmf3291)  
This article is cited in 5 scientific papers (total in 5 papers)

A method for the asymptotic solution of singularly perturbed linear terminal control problems

A. I. Kalinin

Minsk
Full-text PDF (1208 kB) Citations (5)
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Abstract: Terminal control of a singularly perturbed linear system, with constraints on the right endpoint of the trajectory is considered. The asymptotic behaviour of the solution is analysed and on that basis an algorithm is proposed for the asymptotic allocation of optimal control switching points. A computational procedure is outlined which utilizes the asymptotic approximations to obtain an exact solution for any given value of the small parameter.
Received: 31.01.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 2, Pages 19–28
DOI: https://doi.org/10.1016/0041-5553(90)90072-Z
Bibliographic databases:
Document Type: Article
UDC: 517.977.55
MSC: Primary 49J30; Secondary 49N05, 49K40
Language: Russian
Citation: A. I. Kalinin, “A method for the asymptotic solution of singularly perturbed linear terminal control problems”, Zh. Vychisl. Mat. Mat. Fiz., 30:3 (1990), 366–378; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 19–28
Citation in format AMSBIB
\Bibitem{Kal90}
\by A.~I.~Kalinin
\paper A~method for the asymptotic solution of singularly perturbed linear terminal control problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 3
\pages 366--378
\mathnet{http://mi.mathnet.ru/zvmmf3291}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1051409}
\zmath{https://zbmath.org/?q=an:0703.49009}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 2
\pages 19--28
\crossref{https://doi.org/10.1016/0041-5553(90)90072-Z}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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