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

Generalized Needles and Second-Order Conditions in Optimal Control

E. R. Avakovab, G. G. Magaril-Il'yaevbcd

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.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00649
This work was supported by the Russian Foundation for Basic Research, project no. 17-01-00649-a.


DOI: https://doi.org/10.4213/tm3959

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

Document Type: Article
UDC: 517.977.52
Received: August 23, 2018
Revised: September 25, 2018
Accepted: November 21, 2018

Citation: E. R. Avakov, G. G. Magaril-Il'yaev, “Generalized Needles and Second-Order Conditions in Optimal Control”, Optimal control and differential equations, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin, Tr. Mat. Inst. Steklova, 304, Steklov Math. Inst. RAS, Moscow, 2019, 15–31; Proc. Steklov Inst. Math., 304 (2019), 8–25

Citation in format AMSBIB
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\by E.~R.~Avakov, G.~G.~Magaril-Il'yaev
\paper Generalized Needles and Second-Order Conditions in Optimal Control
\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 Tr. Mat. Inst. Steklova
\yr 2019
\vol 304
\pages 15--31
\publ Steklov Math. Inst. RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3959}
\crossref{https://doi.org/10.4213/tm3959}
\elib{http://elibrary.ru/item.asp?id=37460997}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2019
\vol 304
\pages 8--25
\crossref{https://doi.org/10.1134/S0081543819010024}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85066797369}


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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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