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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 8, Pages 96–102 (Mi ivm8924)  
This article is cited in 6 scientific papers (total in 6 papers)

Brief communications

Sufficient optimality conditions for extremal controls based on functional increment formulas

V. A. Srochko, V. G. Antonik

Chair of Computational Mathematics and Mechanics, Irkutsk State University, 1 K. Marks str., Irkutsk, 664003 Russia
Full-text PDF (174 kB) Citations (6)
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Abstract: We consider optimal control problem without terminal constraints. With the help of nonstandard functional increment formulas we introduce definitions of strongly extremal controls. Such controls are optimal in linear and quadratic problems. In general case, an optimality property is provided with concavity condition of Pontryagin's function with respect to phase variables.
Keywords: optimal control problem, the maximum principle, sufficient optimality conditions.
Received: 31.01.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 8, Pages 78–83
DOI: https://doi.org/10.3103/S1066369X14080118
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. A. Srochko, V. G. Antonik, “Sufficient optimality conditions for extremal controls based on functional increment formulas”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8, 96–102; Russian Math. (Iz. VUZ), 58:8 (2014), 78–83
Citation in format AMSBIB
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\by V.~A.~Srochko, V.~G.~Antonik
\paper Sufficient optimality conditions for extremal controls based on functional increment formulas
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 8
\pages 96--102
\mathnet{http://mi.mathnet.ru/ivm8924}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 8
\pages 78--83
\crossref{https://doi.org/10.3103/S1066369X14080118}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904616892}
Linking options:
  • https://www.mathnet.ru/eng/ivm8924
  • https://www.mathnet.ru/eng/ivm/y2014/i8/p96
    • This publication is cited in the following 6 articles:
    1. Antonik V.G. Arguchintsev A.V., “to the 75Th Anniversary of the Birth of Professor V. a. Srochko”, Bull. Irkutsk State Univ.-Ser. Math., 34 (2020), 126–134  crossref  mathscinet  zmath  isi
    2. E. V. Aksenyushkina, “Optimality conditions in a problem of linear controlled system with bilinear functional”, Russian Math. (Iz. VUZ), 62:7 (2018), 53–57  mathnet  crossref  isi
    3. V. A. Srochko, “Prosteishaya nevypuklaya zadacha upravleniya. Printsip maksimuma i dostatochnye usloviya optimalnosti”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 19 (2017), 184–194  mathnet  crossref
    4. V. A. Srochko, V. G. Antonik, “Optimality conditions for extremal controls in bilinear and quadratic problems”, Russian Math. (Iz. VUZ), 60:5 (2016), 75–80  mathnet  crossref  isi
    5. V. G. Antonik, V. A. Srochko, “Optimality conditions of the maximum principle type in bilinear control problems”, Comput. Math. Math. Phys., 56:12 (2016), 2023–2034  mathnet  crossref  crossref  isi  elib
    6. E. V. Aksenyushkina, V. A. Srochko, “Sufficient optimality conditions for a class of nonconvex control problems”, Comput. Math. Math. Phys., 55:10 (2015), 1642–1652  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:61
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