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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2021, Volume 27, Number 2, Pages 35–48
DOI: https://doi.org/10.21538/0134-4889-2021-27-2-35-48 (Mi timm1812) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Maximum Principle for an Optimal Control Problem with an Asymptotic Endpoint Constraint

S. M. Aseevabc

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University
c International Institute for Applied Systems Analysis, Laxenburg
Full-text PDF (246 kB) Citations (3)
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DOI: https://doi.org/10.21538/0134-4889-2021-27-2-35-48
Abstract: Under conditions characterizing the dominance of the discounting factor, a complete version of the Pontryagin maximum principle for an optimal control problem with infinite time horizon and a special asymptotic endpoint constraint is developed. Problems of this type arise in mathematical economics in the studies of growth models.
Keywords: optimal control, infinite horizon, Pontryagin maximum principle, asymptotic endpoint constraint, growth models, sustainable development.
Funding agency Grant number
Russian Science Foundation 19-11-00223
This work was supported by Russian Scientific Foundation, project 19-11-00223.
Received: 01.02.2021
Revised: 15.02.2021
Accepted: 22.02.2021
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2021, Volume 315, Issue 1, Pages S42–S54
DOI: https://doi.org/10.1134/S0081543821060043
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 49K15, 91B62
Language: Russian
Citation: S. M. Aseev, “Maximum Principle for an Optimal Control Problem with an Asymptotic Endpoint Constraint”, Trudy Inst. Mat. i Mekh. UrO RAN, 27, no. 2, 2021, 35–48; Proc. Steklov Inst. Math., 315, suppl. 1 (2021), S42–S54
Citation in format AMSBIB
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