Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 10, Pages 1563–1570 (Mi zvmmf10094)  

Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors

V. R. Barseghyan

Yerevan State University, Alex Manoogian 1, Yerevan, 0025, Armenia

Abstract: The problem of constructing of an optimal operation for restoring the state of controlled elastic vibrations of a beam in the presence of measurement errors is investigated. By the method of separation of variables, the problem is reduced to an observation problem with an actual output signal for an infinite system of ordinary differential equations. For each harmonic, a universal optimal operation that restores the deflection of the beam from equilibrium and the velocities of all points of the beam is constructed by amplifying the ideal part of the signal produced by the system.

Key words: equation for elastic beam vibrations, actual signal, optimal observation, the case of measurement errors.

DOI: https://doi.org/10.7868/S0044466914100068

Full text: PDF file (197 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2014, 54:10, 1505–1512

Bibliographic databases:

UDC: 519.626
Received: 24.04.2014

Citation: V. R. Barseghyan, “Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors”, Zh. Vychisl. Mat. Mat. Fiz., 54:10 (2014), 1563–1570; Comput. Math. Math. Phys., 54:10 (2014), 1505–1512

Citation in format AMSBIB
\Bibitem{Bar14}
\by V.~R.~Barseghyan
\paper Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2014
\vol 54
\issue 10
\pages 1563--1570
\mathnet{http://mi.mathnet.ru/zvmmf10094}
\crossref{https://doi.org/10.7868/S0044466914100068}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3277809}
\elib{https://elibrary.ru/item.asp?id=21957008}
\transl
\jour Comput. Math. Math. Phys.
\yr 2014
\vol 54
\issue 10
\pages 1505--1512
\crossref{https://doi.org/10.1134/S0965542514100054}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000344149600003}
\elib{https://elibrary.ru/item.asp?id=24635636}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84910004279}


Linking options:
  • http://mi.mathnet.ru/eng/zvmmf10094
  • http://mi.mathnet.ru/eng/zvmmf/v54/i10/p1563

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Number of views:
    This page:209
    Full text:61
    References:33
    First page:13

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021