Avtomatika i Telemekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Avtomat. i Telemekh.:
Year:
Volume:
Issue:
Page:
Find




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

Avtomatika i Telemekhanika, 2009, Issue 4, Pages 41–47 (Mi at449)  
This article is cited in 4 scientific papers (total in 4 papers)

Systems with Distributed Parameters

Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models

N. A. Sidorova, D. N. Sidorovb

a Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
b Melent'ev Institute of Power Engineering Systems, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (196 kB) Citations (4)
References:
PDF
HTML
Abstract: Classes of nonlinear integral Volterra equations occurring in identifying dynamic systems are studied. A solution to a nonlinear system of integral Volterra equations of the first kind is constructed in the class of generalized functions with a point support in the form of a sum of singular and regular parts. In obtaining a singular part of the solution, a determined system of linear algebraic equations is used. The method of sequential approximations together with the method of undetermined coefficients allow constructing a regular part. Theorems of existence and uniqueness of generalized solutions are proved.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 01.10.2008
English version:
Automation and Remote Control, 2009, Volume 70, Issue 4, Pages 598–604
DOI: https://doi.org/10.1134/S0005117909040067
Bibliographic databases:
Document Type: Article
PACS: 02.30.Rz, 02.30.Zz
Language: Russian
Citation: N. A. Sidorov, D. N. Sidorov, “Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models”, Avtomat. i Telemekh., 2009, no. 4, 41–47; Autom. Remote Control, 70:4 (2009), 598–604
Citation in format AMSBIB
\Bibitem{SidSid09}
\by N.~A.~Sidorov, D.~N.~Sidorov
\paper Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models
\jour Avtomat. i Telemekh.
\yr 2009
\issue 4
\pages 41--47
\mathnet{http://mi.mathnet.ru/at449}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2536536}
\zmath{https://zbmath.org/?q=an:1181.93025}
\transl
\jour Autom. Remote Control
\yr 2009
\vol 70
\issue 4
\pages 598--604
\crossref{https://doi.org/10.1134/S0005117909040067}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000265497900006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-65449138384}
Linking options:
  • https://www.mathnet.ru/eng/at449
  • https://www.mathnet.ru/eng/at/y2009/i4/p41
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
    Statistics & downloads:
    Abstract page:527
    Full-text PDF :155
    References:83
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025