Loading [MathJax]/jax/output/CommonHTML/config.js
Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

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)
References:
PDF
HTML
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
\Bibitem{Ase15}
\by S.~M.~Aseev
\paper On the boundedness of optimal controls in infinite-horizon problems
\inbook Optimal control
\bookinfo Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 291
\pages 45--55
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3668}
\crossref{https://doi.org/10.1134/S0371968515040044}
\elib{https://elibrary.ru/item.asp?id=24776661}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2015
\vol 291
\pages 38--48
\crossref{https://doi.org/10.1134/S0081543815080040}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000369344400004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84957553442}
Linking options:
  • https://www.mathnet.ru/eng/tm3668
  • https://doi.org/10.1134/S0371968515040044
  • https://www.mathnet.ru/eng/tm/v291/p45
    • This publication is cited in the following 5 articles:
    1. Feichtinger G., Grass D., Kort P.M., Seidl A., “On the Matthew Effect in Research Careers”, J. Econ. Dyn. Control, 123 (2021), 104058  crossref  mathscinet  isi
    2. A. L. Bagno, A. M. Tarasyev, “Numerical methods for construction of value functions in optimal control problems on an infinite horizon”, Izv. Inst. Mat. Inform., 53 (2019), 15–26  crossref  mathscinet  zmath  isi
    3. S. Aseev, T. Manzoor, “Optimal exploitation of renewable resources: lessons in sustainability from an optimal growth model of natural resource consumption”, Control Systems and Mathematical Methods in Economics: Essays in Honor of Vladimir M. Veliov, Lecture Notes in Economics and Mathematical Systems, 687, eds. G. Feichtinger, R. Kovacevic, G. Tragler, Springer-Verlag Berlin, 2018, 221–245  crossref  mathscinet  zmath  isi  scopus
    4. A. G. Chentsov, A. P. Baklanov, I. I. Savenkov, “Zadacha o dostizhimosti s ogranicheniyami asimptoticheskogo kharaktera”, Izv. IMI UdGU, 2016, no. 1(47), 54–118  mathnet  mathscinet  zmath  elib
    5. S. M. Aseev, “Existence of an optimal control in infinite-horizon problems with unbounded set of control constraints”, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 1–10  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:440
    Full-text PDF :71
    References:100
    First page:3
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025