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, 2020, Volume 26, Number 1, Pages 239–255
DOI: https://doi.org/10.21538/0134-4889-2020-26-1-239-255 (Mi timm1713) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Two-Sided Approximations of Reachable Sets of Control Systems with Geometric Constraints on the Controls

V. N. Ushakov, M. V. Pershakov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (272 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.21538/0134-4889-2020-26-1-239-255
Abstract: We consider a nonlinear control system in Euclidean space on a finite time interval with controls subject to geometric constraints. The question of constructing lower and upper (by inclusion) approximations of reachable sets of this system is studied. Under certain conditions, estimates are obtained for the discrepancy (in the Hausdorff metric) between the lower and upper approximations of the reachable sets.
Keywords: control system, control, differential inclusion, geometric constraints, reachable set, approximation.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00264
18-01-00221
This work was supported by the Russian Foundation for Basic Research (projects no. 18-01-00264 and no. 18-01-00221).
Received: 14.01.2020
Revised: 06.02.2020
Accepted: 10.02.2020
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2021, Volume 313, Issue 1, Pages S211–S227
DOI: https://doi.org/10.1134/S0081543821030226
Bibliographic databases:
Document Type: Article
UDC: 517.955.8
MSC: 37C50, 37J25, 41A29
Language: Russian
Citation: V. N. Ushakov, M. V. Pershakov, “On Two-Sided Approximations of Reachable Sets of Control Systems with Geometric Constraints on the Controls”, Trudy Inst. Mat. i Mekh. UrO RAN, 26, no. 1, 2020, 239–255; Proc. Steklov Inst. Math. (Suppl.), 313, suppl. 1 (2021), S211–S227
Citation in format AMSBIB
\Bibitem{UshPer20}
\by V.~N.~Ushakov, M.~V.~Pershakov
\paper On Two-Sided Approximations of Reachable Sets of Control Systems with Geometric Constraints on the Controls
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2020
\vol 26
\issue 1
\pages 239--255
\mathnet{http://mi.mathnet.ru/timm1713}
\crossref{https://doi.org/10.21538/0134-4889-2020-26-1-239-255}
\elib{https://elibrary.ru/item.asp?id=42492207}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2021
\vol 313
\issue , suppl. 1
\pages S211--S227
\crossref{https://doi.org/10.1134/S0081543821030226}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000544884900018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85090514871}
Linking options:
  • https://www.mathnet.ru/eng/timm1713
  • https://www.mathnet.ru/eng/timm/v26/i1/p239
    • This publication is cited in the following 1 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:268
    Full-text PDF :66
    References:43
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024