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, 2008, Volume 262, Pages 50–63 (Mi tm764)  
This article is cited in 6 scientific papers (total in 6 papers)

Necessary Conditions for the Optimality of the Automaton Part of a Logical–Dynamical System

A. S. Bortakovskii

Moscow Aviation Institute
Full-text PDF (207 kB) Citations (6)
References:
PDF
HTML
Abstract: A dynamical system controlled by an automaton with memory is considered. The continuous part of the system is described by differential equations, and the automaton part, by recurrence inclusions. The instants of time at which the state of the automaton part is changed are not known in advance and are determined during the optimization process. Moreover, modes with multiple switchings of the automaton part at a given instant of time are admitted. Necessary conditions for the optimality of a program control are obtained. The application of the optimality conditions is illustrated by examples.
Received in March 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 44–57
DOI: https://doi.org/10.1134/S008154380803005X
Bibliographic databases:
UDC: 519.8
Language: Russian
Citation: A. S. Bortakovskii, “Necessary Conditions for the Optimality of the Automaton Part of a Logical–Dynamical System”, Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Trudy Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 50–63; Proc. Steklov Inst. Math., 262 (2008), 44–57
Citation in format AMSBIB
\Bibitem{Bor08}
\by A.~S.~Bortakovskii
\paper Necessary Conditions for the Optimality of the Automaton Part of a~Logical--Dynamical System
\inbook Optimal control
\bookinfo Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2008
\vol 262
\pages 50--63
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm764}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2489726}
\zmath{https://zbmath.org/?q=an:1162.49028}
\elib{https://elibrary.ru/item.asp?id=11622613}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2008
\vol 262
\pages 44--57
\crossref{https://doi.org/10.1134/S008154380803005X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262228000004}
\elib{https://elibrary.ru/item.asp?id=13577957}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-53849083778}
Linking options:
  • https://www.mathnet.ru/eng/tm764
  • https://www.mathnet.ru/eng/tm/v262/p50
    • This publication is cited in the following 6 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:459
    Full-text PDF :95
    References:81
    First page:26
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024