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Avtomatika i Telemekhanika, 2024, Issue 7, Pages 42–60
DOI: https://doi.org/10.31857/S0005231024070043 (Mi at16381) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear Systems

Optimal control of harvesting of a distributed renewable resource on the Earth's surface

D. V. Tunitsky

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.31857/S0005231024070043
Abstract: This paper is devoted to the optimal control of mixed (stationary and periodic impulse) harvesting of a renewable resource distributed on the Earth's surface. Examples of such a resource are biological populations, including viruses, chemical contaminants, dust particles, and the like. It is proved that on an infinite planning horizon, there exists an admissible control ensuring the maximum of time-averaged harvesting.
Keywords: the Kolmogorov–Petrovskii–Piskunov–Fisher equations, second-order parabolic equations, semilinear equations on a sphere, weak solutions, stabilization, optimal control.
Funding agency Grant number
Russian Science Foundation 19-11-00223
Presented by the member of Editorial Board: A. G. Kushner

Received: 03.05.2024
Revised: 27.05.2024
Accepted: 30.05.2024
English version:
Automation and Remote Control, 2024, Volume 85, Issue 7, Pages 604–617
DOI: https://doi.org/10.1134/S0005117924700048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Tunitsky, “Optimal control of harvesting of a distributed renewable resource on the Earth's surface”, Avtomat. i Telemekh., 2024, no. 7, 42–60; Autom. Remote Control, 85:7 (2024), 604–617
Citation in format AMSBIB
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\by D.~V.~Tunitsky
\paper Optimal control of harvesting of a distributed renewable resource on the Earth's surface
\jour Avtomat. i Telemekh.
\yr 2024
\issue 7
\pages 42--60
\mathnet{http://mi.mathnet.ru/at16381}
\crossref{https://doi.org/10.31857/S0005231024070043}
\edn{https://elibrary.ru/XRURUS}
\transl
\jour Autom. Remote Control
\yr 2024
\vol 85
\issue 7
\pages 604--617
\crossref{https://doi.org/10.1134/S0005117924700048}
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  • https://www.mathnet.ru/eng/at/y2024/i7/p42
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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