Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






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


Mat. Zametki, 2007, Volume 82, Issue 1, Pages 64–74 (Mi mz3754)  

Estimates of the Rate of Convergence of a Dynamic Reconstruction Algorithm under Incomplete Information about the Phase State

A. S. Mart'yanov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: In this paper, we study a dynamic reconstruction algorithm which reconstructs the unknown unbounded input and all unobservable phase coordinates from the results of measurements of part of the coordinates. An upper and a lower bound for the accuracy of the reconstruction is obtained. We determine the class of inputs for which the upper bound is uniform. We give a condition for optimally matching the algorithm parameters, ensuring the highest order of the upper bound and equating the orders of the upper and lower bounds. Thus, we establish the sharpness of the upper bound.

Keywords: nonlinear dynamical system, dynamic reconstruction algorithm, unobservable phase coordinates, optimal algorithm parameter matching

DOI: https://doi.org/10.4213/mzm3754

Full text: PDF file (466 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2007, 82:1, 57–66

Bibliographic databases:

UDC: 517.977
Received: 31.05.2006

Citation: A. S. Mart'yanov, “Estimates of the Rate of Convergence of a Dynamic Reconstruction Algorithm under Incomplete Information about the Phase State”, Mat. Zametki, 82:1 (2007), 64–74; Math. Notes, 82:1 (2007), 57–66

Citation in format AMSBIB
\Bibitem{Mar07}
\by A.~S.~Mart'yanov
\paper Estimates of the Rate of Convergence of a Dynamic Reconstruction Algorithm under Incomplete Information about the Phase State
\jour Mat. Zametki
\yr 2007
\vol 82
\issue 1
\pages 64--74
\mathnet{http://mi.mathnet.ru/mz3754}
\crossref{https://doi.org/10.4213/mzm3754}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2374884}
\elib{https://elibrary.ru/item.asp?id=9518304}
\transl
\jour Math. Notes
\yr 2007
\vol 82
\issue 1
\pages 57--66
\crossref{https://doi.org/10.1134/80001434607070085}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000249410700008}


Linking options:
  • http://mi.mathnet.ru/eng/mz3754
  • https://doi.org/10.4213/mzm3754
  • http://mi.mathnet.ru/eng/mz/v82/i1/p64

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Математические заметки Mathematical Notes
    Number of views:
    This page:255
    Full text:69
    References:47
    First page:1

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021