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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 4, Pages 231–237 (Mi timm1129)  
This article is cited in 2 scientific papers (total in 2 papers)

Study of an optimal control problem related to the Solow control model

M. S. Nikol'skiiab

a Steklov Mathematical Institute of Russian Academy of Sciences
b Lomonosov Moscow State University
Full-text PDF (135 kB) Citations (2)
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Abstract: We study the Solow model of optimal economic growth. The statement of the optimal control problem under consideration contains mixed constraints on the control. A special change of the control is used to reduce the problem to the study of a new controlled object with a usual geometric constraint. The reachable set of the original control system is found, an existence theorem for the optimal control is proved, and sufficient conditions for absence of singular regimes are obtained.
Keywords: Solow model, optimal control, mixed constraints on control, Pontryagin's maximum principle.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00175-а
12-01-00506-a
13-01-00685-а
13-01-12446 офи-м2
14-00-90408-Укр-а
National Academy of Sciences of Ukraine 03-01-14
Received: 15.07.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 292, Issue 1, Pages 231–237
DOI: https://doi.org/10.1134/S008154381602019X
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: M. S. Nikol'skii, “Study of an optimal control problem related to the Solow control model”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 231–237; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 231–237
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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