Loading [MathJax]/jax/output/SVG/config.js
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 10, Pages 1670–1680
DOI: https://doi.org/10.7868/S004446691510004X (Mi zvmmf10281) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Sufficient optimality conditions for a class of nonconvex control problems

E. V. Aksenyushkinaa, V. A. Srochkob

a Baikal State University of Economics and Law, ul. Lenina 11, Irkutsk, 664015, Russia
b Irkutsk State University, ul. K. Marksa 1, Irkutsk, 664003, Russia
Full-text PDF (384 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S004446691510004X
Abstract: The optimization of a bilinear-quadratic functional with respect to a linear phase system with a modulus control constraint is considered. Special representations of the cost functional are used to obtain sufficient optimality conditions for certain classes of extremal controls in the form of sign definiteness inequalities for functions of one and two variables. These conditions are as easy to implement numerically as verifying controls for extremeness.
Key words: linear phase system, nonconvex optimization problem, extremal controls, sufficient optimality conditions.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00564
Received: 15.12.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 10, Pages 1642–1652
DOI: https://doi.org/10.1134/S0965542515100048
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: E. V. Aksenyushkina, V. A. Srochko, “Sufficient optimality conditions for a class of nonconvex control problems”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1670–1680; Comput. Math. Math. Phys., 55:10 (2015), 1642–1652
Citation in format AMSBIB
\Bibitem{AksSro15}
\by E.~V.~Aksenyushkina, V.~A.~Srochko
\paper Sufficient optimality conditions for a class of nonconvex control problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2015
\vol 55
\issue 10
\pages 1670--1680
\mathnet{http://mi.mathnet.ru/zvmmf10281}
\crossref{https://doi.org/10.7868/S004446691510004X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3412531}
\elib{https://elibrary.ru/item.asp?id=24149957}
\transl
\jour Comput. Math. Math. Phys.
\yr 2015
\vol 55
\issue 10
\pages 1642--1652
\crossref{https://doi.org/10.1134/S0965542515100048}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000363056200005}
\elib{https://elibrary.ru/item.asp?id=24961863}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944460018}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10281
  • https://www.mathnet.ru/eng/zvmmf/v55/i10/p1670
    • This publication is cited in the following 4 articles:
    1. V. G. Antonik, A. V. Arguchintsev, “To the 75th anniversary of the birth of professor V. A. Srochko”, Bull. Irkutsk State Univ.-Ser. Math., 34 (2020), 126–134  crossref  mathscinet  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. 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:302
    Full-text PDF :64
    References:102
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025