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Avtomatika i Telemekhanika, 2019, Issue 1, Pages 21–37
DOI: https://doi.org/10.1134/S0005231019010021 (Mi at14975) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Nonlinear Systems

Energy-optimal control of harmonic oscillator

A. A. Galyaev, P. V. Lysenko

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (3608 kB) Citations (8)
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DOI: https://doi.org/10.1134/S0005231019010021
Abstract: The problem of optimal control of a harmonic oscillator is considered. The energy of oscillator at the final time instant is used as the optimization criterion. The optimal control and optimal value of energy as function of this time instant is determined. The result obtained was compared with the solution of the problem of time-optimal operation at bringing the oscillator in the state of rest.
Keywords: optimal control, Pontryagin maximum principle, harmonic oscillator.
Funding agency Grant number
Russian Foundation for Basic Research 16-08-01285_а
This work was supported in part by the Russian Foundation for Basic Research, project no. 16-08-01285a.
Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 18.01.2018
Revised: 25.05.2018
Accepted: 08.11.2018
English version:
Automation and Remote Control, 2019, Volume 80, Issue 1, Pages 16–29
DOI: https://doi.org/10.1134/S0005117919010028
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Galyaev, P. V. Lysenko, “Energy-optimal control of harmonic oscillator”, Avtomat. i Telemekh., 2019, no. 1, 21–37; Autom. Remote Control, 80:1 (2019), 16–29
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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