Geodesic
History of the Discovery of the Pontryagin Maximum Principle
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control and differential equations, Tome 304 (2019), pp. 7-14.

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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. 
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R. V. Gamkrelidze. History of the Discovery of the Pontryagin Maximum Principle. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control and differential equations, Tome 304 (2019), pp. 7-14. http://geodesic.mathdoc.fr/item/TM_2019_304_a0/

[1] A. A. Andronov and L. S. Pontryagin, “Structurally stable systems”, Dokl. Akad. Nauk SSSR, 14:5 (1937), 247–250 | MR

[2] Bushaw D.W., Differential equations with a discontinuous forcing term, PhD Thesis, Princeton Univ., Princeton, NJ, 1952 | MR

[3] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes, Fizmatgiz, Moscow, 1961 (in Russian) | MR

[4] Pontryagin L.S., Boltyanskii V.G., Gamkrelidze R.V., Mishchenko E.F., The mathematical theory of optimal processes, ed. by L.W. Neustadt, Interscience, New York, 1962 | MR | Zbl