Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. IMI UdGU:
Year:
Volume:
Issue:
Page:
Find






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


Izv. IMI UdGU, 2021, Volume 57, Pages 181–189 (Mi iimi416)  

MATHEMATICS

On problem of controlling the process of cleaning a pond from impurity

V. I. Ukhobotov, I. V. Izmest'ev

Chelyabinsk State University, ul. Brat'ev Kashirinykh, 129, Chelyabinsk, 454001, Russia

Abstract: The problem of controlling the process of cleaning a pond from impurity using the river flowing from it is considered. A controlled variable is the concentration of impurity entering the river from the pond. The spread of impurity in the river is described by the convection-diffusion equation. This equation includes a term that is determined by other sources of impurity entering the river. The exact value of this term is unknown. Only the boundaries of its change are set. An indicator of the control quality is the value of the linear combination of the concentration of the impurity in the river at a given moment of time and the remaining amount of the mass of the impurity at that moment in the pond. The goal of the control is to bring the value of this indicator within the specified interval.

Keywords: control, uncertainty, convection-diffusion equation.

Funding Agency Grant Number
Russian Foundation for Basic Research 20-41-740027
The research was funded by Russian Foundation for Basic Research and Chelyabinsk Region, project number 20-41-740027.


DOI: https://doi.org/10.35634/2226-3594-2021-57-09

Full text: PDF file (123 kB)
References: PDF file   HTML file

Bibliographic databases:

UDC: 517.977
MSC: 49N70, 49N75, 91A23, 91A24
Received: 30.03.2021

Citation: V. I. Ukhobotov, I. V. Izmest'ev, “On problem of controlling the process of cleaning a pond from impurity”, Izv. IMI UdGU, 57 (2021), 181–189

Citation in format AMSBIB
\Bibitem{UkhIzm21}
\by V.~I.~Ukhobotov, I.~V.~Izmest'ev
\paper On problem of controlling the process of cleaning a pond from impurity
\jour Izv. IMI UdGU
\yr 2021
\vol 57
\pages 181--189
\mathnet{http://mi.mathnet.ru/iimi416}
\crossref{https://doi.org/10.35634/2226-3594-2021-57-09}


Linking options:
  • http://mi.mathnet.ru/eng/iimi416
  • http://mi.mathnet.ru/eng/iimi/v57/p181

    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
  • Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
    Number of views:
    This page:33
    Full text:11
    References:1

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