V. V. Provotorov, “Construction of boundary controls in the problem of oscilation damping of a system from $m$ strings”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2012, no. 1, 60

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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya

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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2012, Issue 1, Pages 60–69 (Mi vspui8)

This article is cited in 8 scientific papers (total in 8 papers)

Applied mathematics

Construction of boundary controls in the problem of oscilation damping of a system from

$m$ strings

V. V. Provotorov

Voronezh State University

Full-text PDF (274 kB) Citations (8)

References:

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Abstract: An elastic system of

$m$ strings fixed as a graph–star is considered. Such mathematical objects are a basis of mathematical models of fluctuation processes in antenna designs of various types. A method of finding boundary operating influences consisting of the transfer of the system fluctuation process from the appointed initial condition into the rest one is presented. The spectral technics (Fourier analysis) is used allowing rather easily to overcome the complexities generated by the graphgeometry. The main result of the research is presented in the form of the ready formulas defining required boundary controls as the function of time.

Keywords: a boundary problem on the graph, boundary control, transfer of system from the initial condition into the rest one.

Accepted: October 20, 2011

Document Type: Article

UDC: 517.958

Language: Russian

Citation: V. V. Provotorov, “Construction of boundary controls in the problem of oscilation damping of a system from

$m$ strings”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2012, no. 1, 60–69

Citation in format AMSBIB

\Bibitem{Pro12}

\by V.~V.~Provotorov

\paper Construction of boundary controls in the problem of oscilation damping of a system from $m$~strings

\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.

\yr 2012

\issue 1

\pages 60--69

\mathnet{http://mi.mathnet.ru/vspui8}

Linking options:

https://www.mathnet.ru/eng/vspui8

https://www.mathnet.ru/eng/vspui/y2012/i1/p60

This publication is cited in the following 8 articles:

V. R. Barseghyan, “Boundary control of some distributed heterogeneous vibrating system with given states at intermediate time instants”, Autom. Remote Control, 84:2 (2023), 135–147
A. P. Zhabko, V. V. Karelin, V. V. Provotorov, S. M. Sergeev, “Optimalnoe upravlenie teplovymi i volnovymi protsessami v sloistykh kompozitnykh materialakh”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 19:3 (2023), 403–418
A. P. Zhabko, V. V. Provotorov, S. M. Sergeev, “Stability of operator-difference schemes with weights for the hyperbolic equation in the space of summable functions with carriers in the network-like domain”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 18:3 (2022), 425–437
A. Yu. Aleksandrov, E. B. Aleksandrova, A. V. Platonov, “Analiz ustoichivosti polozhenii ravnovesiya nelineinykh mekhanicheskikh sistem s nestatsionarnym veduschim parametrom pri potentsialnykh silakh”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 2015, no. 1, 107–119
V. V. Provotorov, “Optimalnoe upravlenie parabolicheskoi sistemoi s raspredelennymi parametrami na grafe”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 2014, no. 3, 154–163
V. V. Provotorov, Yu. A. Gnilitskaya, “Granichnoe upravlenie volnovoi sistemoi v prostranstve obobschennykh reshenii na grafe”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 2013, no. 3, 112–120
Gnilitskaya Yu.A., “Postroenie granichnykh upravlenii v zadache o perevode sistemy strun iz sostoyaniya pokoya v zadannoe sostoyanie”, Sistemy upravleniya i informatsionnye tekhnologii, 50 (2012), 135–138 Construction of a boundary control in the problem of translation of a system of strings from state of rest at a desired state
Volkova A.S., “Zadacha granichnogo upravleniya slozhnosochlenennoi uprugoi sistemoi strun”, Sistemy upravleniya i informatsionnye tekhnologii, 50:4 (2012), 79–83 Problem of boundary control of difficult jointed elastic system of strings

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления

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Abstract page:	314
Full-text PDF :	84
References:	63
First page:	16

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