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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 304, Pages 7–14
DOI: https://doi.org/10.4213/tm3964 (Mi tm3964) 		 
This article is cited in 7 scientific papers (total in 7 papers)

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
Full-text PDF (161 kB) Citations (7)
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DOI: https://doi.org/10.4213/tm3964
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.
Received: September 14, 2018
Revised: September 14, 2018
Accepted: January 18, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 304, Pages 1–7
DOI: https://doi.org/10.1134/S0081543819010012
Bibliographic databases:
Document Type: Article
UDC: 51(09)
Language: Russian
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
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\bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
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\vol 304
\pages 7--14
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 7 articles:
    1. V. I. Sumin, M. I. Sumin, “On Regularization of Classical Optimality Conditions in Convex Optimization Problems for Volterra-Type Systems with Operator Constraints”, Diff Equat, 60:2 (2024), 227  crossref
    2. V. I. Sumin, M. I. Sumin, “On regularization of the classical optimality conditions in the convex optimization problems for Volterra-type systems with operator constraints”, Differencialʹnye uravneniâ, 60:2 (2024), 237  crossref
    3. Roman Chertovskih, Vitor Miguel Ribeiro, Rui Gonçalves, António Pedro Aguiar, “Sixty Years of the Maximum Principle in Optimal Control: Historical Roots and Content Classification”, Symmetry, 16:10 (2024), 1398  crossref
    4. V. I. Sumin, M. I. Sumin, “Regulyarizatsiya klassicheskikh uslovii optimalnosti v zadachakh optimizatsii lineinykh sistem volterrova tipa s funktsionalnymi ogranicheniyami”, Vestnik rossiiskikh universitetov. Matematika, 28:143 (2023), 298–325  mathnet  crossref
    5. V. I. Sumin, M. I. Sumin, “Regularization of the classical optimality conditions in optimal control problems for linear distributed systems of Volterra type”, Comput. Math. Math. Phys., 62:1 (2022), 42–65  mathnet  mathnet  crossref  crossref  mathscinet  isi  scopus
    6. 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  mathnet  crossref  crossref  isi  elib
    7. G. Gromadzki, A. D. Mednykh, I. A. Mednykh, “On automorphisms of graphs and Riemann surfaces acting with fixed points”, Anal.Math.Phys., 9:4 (2019), 2021  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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