Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 315, Pages 222–236
DOI: https://doi.org/10.4213/tm4230 (Mi tm4230) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Neighborhood of the Second-Order Singular Regime in Problems with Control in a Disk

M. I. Ronzhina, L. A. Manita, L. V. Lokutsievskiy

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (303 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4230
Abstract: We consider Hamiltonian systems that are affine in a two-dimensional control with values in a disk. In the neighborhood of a second-order singular extremal, we study the structure of optimal synthesis and find a family of solutions in the form of logarithmic spirals that make countably many revolutions around a singular point and reach this point in finite time.
Funding agency Grant number
Russian Science Foundation 20-11-20169
This work is supported by the Russian Science Foundation under grant 20-11-20169.
Received: February 26, 2021
Revised: April 12, 2021
Accepted: August 10, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 315, Pages 209–222
DOI: https://doi.org/10.1134/S0081543821050163
Bibliographic databases:
Document Type: Article
UDC: 517.97
Language: Russian
Citation: M. I. Ronzhina, L. A. Manita, L. V. Lokutsievskiy, “Neighborhood of the Second-Order Singular Regime in Problems with Control in a Disk”, Optimal Control and Differential Games, Collected papers, Trudy Mat. Inst. Steklova, 315, Steklov Math. Inst., Moscow, 2021, 222–236; Proc. Steklov Inst. Math., 315 (2021), 209–222
Citation in format AMSBIB
\Bibitem{RonManLok21}
\by M.~I.~Ronzhina, L.~A.~Manita, L.~V.~Lokutsievskiy
\paper Neighborhood of the Second-Order Singular Regime in Problems with Control in a Disk
\inbook Optimal Control and Differential Games
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 315
\pages 222--236
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4230}
\crossref{https://doi.org/10.4213/tm4230}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4360125}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2021
\vol 315
\pages 209--222
\crossref{https://doi.org/10.1134/S0081543821050163}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000745120000016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85123360388}
Linking options:
  • https://www.mathnet.ru/eng/tm4230
  • https://doi.org/10.4213/tm4230
  • https://www.mathnet.ru/eng/tm/v315/p222
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:290
    Full-text PDF :65
    References:22
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024