Automatic Control Systems Modeling by Volterra Polynomials

The problem of the existence of the solutions of polynomial Volterra integral equations of the first kind of the second degree is considered. An algorithm of the numerical solution of one class of Volterra nonlinear systems of the first kind is developed. Numerical results for test examples are pres...

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Main Author: S. V. Solodusha
Format: Article
Language:English
Published: Yaroslavl State University 2015-02-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/12
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author S. V. Solodusha
author_facet S. V. Solodusha
author_sort S. V. Solodusha
collection DOAJ
description The problem of the existence of the solutions of polynomial Volterra integral equations of the first kind of the second degree is considered. An algorithm of the numerical solution of one class of Volterra nonlinear systems of the first kind is developed. Numerical results for test examples are presented.
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spelling doaj.art-b7f6ecad84b3446392cdc5c2ec13f2112023-03-13T08:07:33ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172015-02-01191606810.18255/1818-1015-2012-1-60-686Automatic Control Systems Modeling by Volterra PolynomialsS. V. Solodusha0Институт систем энергетики им. Л.А. Мелентьева СО РАНThe problem of the existence of the solutions of polynomial Volterra integral equations of the first kind of the second degree is considered. An algorithm of the numerical solution of one class of Volterra nonlinear systems of the first kind is developed. Numerical results for test examples are presented.https://www.mais-journal.ru/jour/article/view/12уравнения вольтерра i роданелинейные интегральные неравенствасистема автоматического управления
spellingShingle S. V. Solodusha
Automatic Control Systems Modeling by Volterra Polynomials
Моделирование и анализ информационных систем
уравнения вольтерра i рода
нелинейные интегральные неравенства
система автоматического управления
title Automatic Control Systems Modeling by Volterra Polynomials
title_full Automatic Control Systems Modeling by Volterra Polynomials
title_fullStr Automatic Control Systems Modeling by Volterra Polynomials
title_full_unstemmed Automatic Control Systems Modeling by Volterra Polynomials
title_short Automatic Control Systems Modeling by Volterra Polynomials
title_sort automatic control systems modeling by volterra polynomials
topic уравнения вольтерра i рода
нелинейные интегральные неравенства
система автоматического управления
url https://www.mais-journal.ru/jour/article/view/12
work_keys_str_mv AT svsolodusha automaticcontrolsystemsmodelingbyvolterrapolynomials