Trudy Instituta Matematiki i Mekhaniki UrO RAN
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



Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find






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


Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 4, Pages 29–37 (Mi timm1112)  

This article is cited in 8 scientific papers (total in 8 papers)

Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraints

A. V. Arutyunova, D. Yu. Karamzinb, F. L. Pereirac

a Peoples Friendship University of Russia
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences
c University of Porto, Portugal
Full-text PDF (179 kB) Citations (8)
References:
Abstract: Properties of Lagrange multipliers from the Pontryagin maximum principle for problems with state constraints are investigated. Sufficient conditions for the continuity of the solution of the adjoint solution depending on how the extremal trajectory approaches the state constraint boundary are obtained. The proof uses the notion of closure by measure of a Lebesgue measurable function and the Caratheodory theorem.
Keywords: optimal control, maximum principle, state constraints.
Received: 10.07.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 292, Issue 1, Pages 27–35
DOI: https://doi.org/10.1134/S0081543816020036
Bibliographic databases:
Document Type: Article
UDC: 517.977.52
Language: Russian
Citation: A. V. Arutyunov, D. Yu. Karamzin, F. L. Pereira, “Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 29–37; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 27–35
Citation in format AMSBIB
\Bibitem{AruKarPer14}
\by A.~V.~Arutyunov, D.~Yu.~Karamzin, F.~L.~Pereira
\paper Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraints
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 4
\pages 29--37
\mathnet{http://mi.mathnet.ru/timm1112}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3379267}
\elib{https://elibrary.ru/item.asp?id=22515131}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2016
\vol 292
\issue , suppl. 1
\pages 27--35
\crossref{https://doi.org/10.1134/S0081543816020036}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000376272600003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84971568096}
Linking options:
  • https://www.mathnet.ru/eng/timm1112
  • https://www.mathnet.ru/eng/timm/v20/i4/p29
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:456
    Full-text PDF :152
    References:62
    First page:15
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024