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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 6, Pages 54–60 (Mi ivm9123)  
This article is cited in 4 scientific papers (total in 4 papers)

Optimal two-sided boundary control of heat transmission in a rod. Hyperbolic model

R. K. Romanovskii, Yu. A. Medvedev

Omsk State Technical University, 11 Mira Ave., Omsk, 644050 Russia
Full-text PDF (181 kB) Citations (4)
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Abstract: We consider mixed problem for one-dimensional hyperbolic system of thermal conductivity equations. We construct a class of boundary controls that provide given distribution on phase vector $(T,q)$ in a given moment of time. From this class we choose a control by the Lagrange method that minimize a square functional of loss.
Keywords: hyperbolic conductivity, boundary phase vector control, reduction of boundary control to starting one, Riemann matrices of first and second kind.
Received: 18.11.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 6, Pages 45–51
DOI: https://doi.org/10.3103/S1066369X16060062
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: R. K. Romanovskii, Yu. A. Medvedev, “Optimal two-sided boundary control of heat transmission in a rod. Hyperbolic model”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 6, 54–60; Russian Math. (Iz. VUZ), 60:6 (2016), 45–51
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/ivm9123
  • https://www.mathnet.ru/eng/ivm/y2016/i6/p54
    • This publication is cited in the following 4 articles:
    1. A. N. Mironov, E. F. Koskova, “O zadache s usloviyami na kharakteristikakh i svobodnoi poverkhnosti dlya giperbolicheskoi sistemy uravnenii s tremya nezavisimymi peremennymi s dvukratnymi kharakteristikami”, Izv. vuzov. Matem., 2025, no. 1, 28–36  mathnet  crossref
    2. A. N. Mironov, A. P. Volkov, “On the Darboux problem for a hyperbolic system of equations with multiple characteristics”, Russian Math. (Iz. VUZ), 66:8 (2022), 31–36  mathnet  crossref  crossref
    3. A. N. Mironov, L. B. Mironova, Yu. O. Yakovleva, “Metod Rimana dlya uravnenii s dominiruyuschei chastnoi proizvodnoi (obzor)”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 25:2 (2021), 207–240  mathnet  crossref  zmath  elib
    4. L. B. Mironova, “Application of Riemann method to one system in three-dimensional space”, Russian Math. (Iz. VUZ), 63:6 (2019), 42–50  mathnet  crossref  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:293
    Full-text PDF :66
    References:77
    First page:28
     
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