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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)
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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
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\paper Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models
\jour Avtomat. i Telemekh.
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\issue 4
\pages 41--47
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\jour Autom. Remote Control
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\pages 598--604
\crossref{https://doi.org/10.1134/S0005117909040067}
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    • 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
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    Full-text PDF :155
    References:83
    First page:4
     
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