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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 291, Pages 45–55
DOI: https://doi.org/10.1134/S0371968515040044 (Mi tm3668) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the boundedness of optimal controls in infinite-horizon problems

S. M. Aseevabc

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b International Institute for Applied Systems Analysis, Laxenburg, Austria
c Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (211 kB) Citations (5)
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DOI: https://doi.org/10.1134/S0371968515040044
Abstract: A class of infinite-horizon optimal control problems that arise in economic applications is considered. A theorem on the nonemptiness and boundedness of the set of optimal controls is proved by the method of finite-horizon approximations and the apparatus of the Pontryagin maximum principle. As an example, a simple model of optimal economic growth with a renewable resource is considered.
Funding agency Grant number
Russian Science Foundation 15-11-10018
This work is supported by the Russian Science Foundation under grant 15-11-10018.
Received: September 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 291, Pages 38–48
DOI: https://doi.org/10.1134/S0081543815080040
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: S. M. Aseev, “On the boundedness of optimal controls in infinite-horizon problems”, Optimal control, Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 291, MAIK Nauka/Interperiodica, Moscow, 2015, 45–55; Proc. Steklov Inst. Math., 291 (2015), 38–48
Citation in format AMSBIB
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\bookinfo Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin
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\vol 291
\pages 45--55
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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