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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 1, Pages 1–13 (Mi sjvm562)  
This article is cited in 4 scientific papers (total in 4 papers)

Computing of optimal inertial control with a linear system

V. M. Aleksandrov

Sobolev Institute Mathematics of SB RAS, 4 Acad. Koptyug pr., Novosibirsk, 630090, Russia
Full-text PDF (435 kB) Citations (4)
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Abstract: Computing of time-optimal inertial control amounts to solving the three problems: 1) computing of optimal control on the assumption that the control is without inertia; 2) finding the optimal switching time of the control; 3) calculating of the error induced by the time lag of the control followed by correcting the control time and switching moments. Characteristics of the problems are considered and methods of their solution are given. A way of assignment of initial approximation is presented. A computational algorithm, results of modeling and numerical computations are performed.
Key words: optimal control, speed, switching moment, inertial switching, non-inertial switching, phase trajectory.
Received: 18.11.2013
Revised: 21.01.2014
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 1, Pages 1–12
DOI: https://doi.org/10.1134/S1995423915010012
Bibliographic databases:
Document Type: Article
UDC: 519.626.1
Language: Russian
Citation: V. M. Aleksandrov, “Computing of optimal inertial control with a linear system”, Sib. Zh. Vychisl. Mat., 18:1 (2015), 1–13; Num. Anal. Appl., 8:1 (2015), 1–12
Citation in format AMSBIB
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\paper Computing of optimal inertial control with a~linear system
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\jour Num. Anal. Appl.
\yr 2015
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\pages 1--12
\crossref{https://doi.org/10.1134/S1995423915010012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84924417045}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    References:56
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