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Avtomatika i Telemekhanika, 2011, Issue 6, Pages 127–132 (Mi at2231)  
This article is cited in 10 scientific papers (total in 10 papers)

Nonlinear Systems

Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials

D. N. Sidorovab, N. A. Sidorova

a Irkutsk State University, Irkutsk, Russia
b Melentiev Energy Systems Institute, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (178 kB) Citations (10) English version article
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Abstract: We consider generalized solutions of polynomial integral Volterra equations of the first kind that arise in a control problem for nonlinear dynamical processes of the “input–output” type. We prove the existence theorem and propose a method for constructing generalized solutions. We establish that the number of solutions equals the number of roots of a certain polynomial.
Presented by the member of Editorial Board: V. I. Gurman

Received: 16.12.2010
English version:
Automation and Remote Control, 2011, Volume 72, Issue 6, Pages 1258–1263
DOI: https://doi.org/10.1134/S0005117911060130
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. N. Sidorov, N. A. Sidorov, “Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials”, Avtomat. i Telemekh., 2011, no. 6, 127–132; Autom. Remote Control, 72:6 (2011), 1258–1263
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2011/i6/p127
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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