E. R. Avakov, G. G. Magaril-Il'yaev, “Generalized Needles and Second-Order Conditions in Optimal Control”, Trudy Mat. Inst. Steklova, 2019, Volume 304,Pages <nobr>15–31</nobr>

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Trudy Mat. Inst. Steklova, 2019 Volume 304, Pages 15–31 (Mi tm3959)

This article is cited in 2 papers

Generalized Needles and Second-Order Conditions in Optimal Control

E. R. Avakov^ab, G. G. Magaril-Il'yaev^bcd

^a V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Profsoyuznaya ul. 65, Moscow, 117997 Russia
^b Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
^c Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Bol'shoi Karetnyi per. 19, str. 1, Moscow, 127051 Russia
^d Southern Mathematical Institute --- the Affiliate of Vladikavkaz Scientific Centre of the Russian Academy of Sciences, ul. Vatutina 53, Vladikavkaz, 362025 Russia

Abstract: Using generalized needle variations, we derive second-order necessary optimality conditions for a strong minimum in an optimal control problem with endpoint constraints of general form.

UDC: 517.977.52

Received: August 23, 2018
Revised: September 25, 2018
Accepted: November 21, 2018

DOI: 10.4213/tm3959

English version: Proceedings of the Steklov Institute of Mathematics, 2019, 304, 8–25

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