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Necessary optimality conditions for optimal control problem with second order equation
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 437-440 Cet article a éte moissonné depuis la source Math-Net.Ru

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An optimal control problem with second order equation is considered. For this problem Pontryagin maximum principle is obtained. Also non-triviality condition is proved.
Keywords: optimal control, maximum principle, second order equation, non-triviality Conditions. 
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A. M. Kotyukov; M. M. Kotyukov. Necessary optimality conditions for optimal control problem with second order equation. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 437-440. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a11/

[1] V. M. Alekseev, V. M. Tihomirov, S. V. Fomin, Optimal Control, Fizmatlit Publ., Moscow, 2005, 384 pp. (In Russian)

[2] L. S. Pontryagin, V. G. Boltyanskiy, R. V. Gamkrelidze, E. F. Mishchenko, Mathematical Theory of Optimal Processes, 4th, Nauka Publ., Moscow, 1983, 392 pp. (In Russian) | MR

[3] A. M. Kotyukov, “Pontryagin's maximum principle for second order system”, Current Directions of Mathematical Analysis and Allied Issues, Proceedings of the International Youth Scientific School (Voronezh, Nowember 13–15, 2017), Abstracts, v. 1, Publishing and Printing Center “Scientific Book”, Voronezh, 2017, 244 (In Russian)