General information
Latest issue
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

Latest issue
Current issues
Archive issues
What is RSS

Avtomat. i Telemekh.:

Personal entry:
Save password
Forgotten password?

Avtomat. i Telemekh., 2009, Issue 4, Pages 18–30 (Mi at447)  

This article is cited in 9 scientific papers (total in 9 papers)

Systems with Distributed Parameters

N. N. Krasovskii's extremal shift method and problems of boundary control

Yu. S. Osipova, A. V. Kryazhimskiib, V. I. Maksimovc

a Presidium of the Russian Academy of Sciences, Moscow, Russia
b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
c Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

Abstract: For the boundary-controlled dynamic system obeying a parabolic differential equation with the Neumann boundary condition, the problems of following the reference motion, following the reference control, and guaranteed control (at domination of the controller resource) were solved on the basis of the N. N. Krasovskii method of extremal shift from the theory of positional differential games.

Full text: PDF file (227 kB)
References: PDF file   HTML file

English version:
Automation and Remote Control, 2009, 70:4, 577–588

Bibliographic databases:

Document Type: Article
PACS: 02.30.Yy
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 01.10.2008

Citation: Yu. S. Osipov, A. V. Kryazhimskii, V. I. Maksimov, “N. N. Krasovskii's extremal shift method and problems of boundary control”, Avtomat. i Telemekh., 2009, no. 4, 18–30; Autom. Remote Control, 70:4 (2009), 577–588

Citation in format AMSBIB
\by Yu.~S.~Osipov, A.~V.~Kryazhimskii, V.~I.~Maksimov
\paper N.\,N.~Krasovskii's extremal shift method and problems of boundary control
\jour Avtomat. i Telemekh.
\yr 2009
\issue 4
\pages 18--30
\jour Autom. Remote Control
\yr 2009
\vol 70
\issue 4
\pages 577--588

Linking options:

    SHARE: FaceBook Twitter Livejournal

    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. I. Maksimov, “On reconstruction of unknown characteristics of a distributed system using a regularized extremal shift”, Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S188–S203  mathnet  crossref  isi  elib
    2. M. S. Blizorukova, V. I. Maksimov, “An algorithm for dynamic reconstruction of input disturbances from observations of some of the coordinates”, Comput. Math. Math. Phys., 51:6 (2011), 942–951  mathnet  crossref  mathscinet  isi
    3. Maksimov V.I., “The Tracking of the Trajectory of a Dynamical System”, Pmm-J. Appl. Math. Mech., 75:6 (2011), 667–674  crossref  mathscinet  zmath  isi  elib  scopus
    4. V. I. Maksimov, “Ob odnom algoritme dinamicheskogo vosstanovleniya pravoi chasti parabolicheskogo uravneniya”, Sib. zhurn. industr. matem., 16:4 (2013), 94–110  mathnet  mathscinet
    5. M. S. Blizorukova, V. I. Maksimov, “On reconstruction of an input for parabolic equation on infinite time interval”, Russian Math. (Iz. VUZ), 58:8 (2014), 24–34  mathnet  crossref
    6. V. I. Maksimov, “On a problem of linear system control under incomplete information about the phase coordinates”, Autom. Remote Control, 77:6 (2016), 943–958  mathnet  crossref  isi  elib  elib
    7. Maksimov V.I., “Guidance Problem For a Distributed System With Incomplete Information on the State Coordinates and An Unknown Initial State”, Differ. Equ., 52:11 (2016), 1442–1452  crossref  mathscinet  zmath  isi  scopus
    8. V. I. Maksimov, “An algorithm for dynamic reconstruction of the right-hand side of a second-order equation with distributed parameters”, Comput. Math. Math. Phys., 57:8 (2017), 1248–1261  mathnet  crossref  crossref  isi  elib
    9. Maksimov V.I., “Control Problem For a Nonlinear Distributed Equation”, Differ. Equ., 54:11 (2018), 1449–1455  crossref  zmath  isi  scopus
  • Avtomatika i Telemekhanika
    Number of views:
    This page:274
    Full text:83
    First page:10

    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019