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 Trudy Mat. Inst. Steklova, 2019, Volume 304, Pages 7–14 (Mi tm3964)

History of the Discovery of the Pontryagin Maximum Principle

R. V. Gamkrelidze

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We briefly describe the history of the discovery of the Pontryagin maximum principle in optimal control theory in the mid-1950s by Academician L. S. Pontryagin in collaboration with his students—V. G. Boltyanskii and the author of the present paper—who were then young scientists at the Department of Differential Equations headed by Pontryagin at the Steklov Mathematical Institute.

DOI: https://doi.org/10.4213/tm3964

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 304, 1–7

Bibliographic databases:

UDC: 51(09)
Revised: September 14, 2018
Accepted: January 18, 2019

Citation: R. V. Gamkrelidze, “History of the Discovery of the Pontryagin Maximum Principle”, Optimal control and differential equations, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 304, Steklov Math. Inst. RAS, Moscow, 2019, 7–14; Proc. Steklov Inst. Math., 304 (2019), 1–7

Citation in format AMSBIB
\Bibitem{Gam19} \by R.~V.~Gamkrelidze \paper History of the Discovery of the Pontryagin Maximum Principle \inbook Optimal control and differential equations \bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin \serial Trudy Mat. Inst. Steklova \yr 2019 \vol 304 \pages 7--14 \publ Steklov Math. Inst. RAS \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3964} \crossref{https://doi.org/10.4213/tm3964} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3951608} \elib{https://elibrary.ru/item.asp?id=37460996} \transl \jour Proc. Steklov Inst. Math. \yr 2019 \vol 304 \pages 1--7 \crossref{https://doi.org/10.1134/S0081543819010012} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000470695400001} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067053979} 

• http://mi.mathnet.ru/eng/tm3964
• https://doi.org/10.4213/tm3964
• http://mi.mathnet.ru/eng/tm/v304/p7

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This publication is cited in the following articles:
1. Oleg V. Morzhin, Alexander N. Pechen, “On Reachable and Controllability Sets for Minimum-Time Control of an Open Two-Level Quantum System”, Proc. Steklov Inst. Math., 313 (2021), 149–164
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