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.
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
\Bibitem{Nik14}
\by M.~S.~Nikol'skii
\paper Study of an optimal control problem related to the Solow control model
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 4
\pages 231--237
\mathnet{http://mi.mathnet.ru/timm1129}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3379285}
\zmath{https://zbmath.org/?q=an:1343.49003}
\elib{https://elibrary.ru/item.asp?id=22515149}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2016
\vol 292
\issue , suppl. 1
\pages 231--237
\crossref{https://doi.org/10.1134/S008154381602019X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000376272600019}
\elib{https://elibrary.ru/item.asp?id=27083151}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84971574677}
Linking options:
https://www.mathnet.ru/eng/timm1129
https://www.mathnet.ru/eng/timm/v20/i4/p231
This publication is cited in the following 2 articles:
Citation in format AMSBIB
Contact us: