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Avtomatika i Telemekhanika, 2020, Issue 2, Pages 36–47
DOI: https://doi.org/10.31857/S0005231020020038 (Mi at15448) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Nonlinear Systems

Optimal control of string vibrations with nonseparate state function conditions at given intermediate instants

V. R. Barseghyanab

a Yerevan State University, Yerevan, Armenia
b Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan, Armenia
Full-text PDF (249 kB) Citations (16)
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DOI: https://doi.org/10.31857/S0005231020020038
Abstract: An optimal control problem for the string vibration equation with given initial and terminal conditions, nonseparated states at intermediate instants and a performance criterion defined on the entire time interval is considered. This problem is solved using the methods of separation of variables and the theory of optimal control of finite-dimensional systems with nonseparated multipoint intermediate conditions. As an illustrative example of the approach proposed in the paper, an optimal control of string vibrations with given nonlocal deflection values of the string at some intermediate instants is constructed.
Keywords: string vibrations, optimal vibration control, intermediate states, nonseparated multipoint conditions, optimal control.
Presented by the member of Editorial Board: A. L. Fradkov

Received: 30.01.2019
Revised: 16.04.2019
Accepted: 18.07.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 2, Pages 226–235
DOI: https://doi.org/10.1134/S0005117920020034
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. R. Barseghyan, “Optimal control of string vibrations with nonseparate state function conditions at given intermediate instants”, Avtomat. i Telemekh., 2020, no. 2, 36–47; Autom. Remote Control, 81:2 (2020), 226–235
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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