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Stability of Quasilinear Dynamic Systems with after Effect. / Bondarenko, Lidiya Alekseevna; Zubov, Afanasy Vladimirovich; Zubova, Alexandra Fedorovna; Zubov, Sergey Vladimirovich; Orlov, Vyacheslav Borisovich.

In: Biosciences Biotechnology Research Asia, Vol. 12, No. 1, 2015, p. 779-788.

Research output: Contribution to journal › Article

Harvard

Bondarenko, LA, Zubov, AV, Zubova, AF, Zubov, SV & Orlov, VB 2015, 'Stability of Quasilinear Dynamic Systems with after Effect', Biosciences Biotechnology Research Asia, vol. 12, no. 1, pp. 779-788.

APA

Bondarenko, L. A., Zubov, A. V., Zubova, A. F., Zubov, S. V., & Orlov, V. B. (2015). Stability of Quasilinear Dynamic Systems with after Effect. Biosciences Biotechnology Research Asia, 12(1), 779-788.

Vancouver

Bondarenko LA, Zubov AV, Zubova AF, Zubov SV, Orlov VB. Stability of Quasilinear Dynamic Systems with after Effect. Biosciences Biotechnology Research Asia. 2015;12(1):779-788.

Author

Bondarenko, Lidiya Alekseevna ; Zubov, Afanasy Vladimirovich ; Zubova, Alexandra Fedorovna ; Zubov, Sergey Vladimirovich ; Orlov, Vyacheslav Borisovich. / Stability of Quasilinear Dynamic Systems with after Effect. In: Biosciences Biotechnology Research Asia. 2015 ; Vol. 12, No. 1. pp. 779-788.

BibTeX

@article{cfd2b5b33be14c6ea1b0b6ff8167ce47,
title = "Stability of Quasilinear Dynamic Systems with after Effect",
abstract = "The work is devoted to development of mathematical apparatus which facilitates analysis of stability of control systems with aftereffect including analytical methods and numerical algorithms for solution of stability problems by the first non-linear approximation and problems of robust stability for these systems. The article discusses the issues of existence and stability of stationary modes in dynamic systems with aftereffect, as well as influence of external limited impacts on these modes. Criteria of stability have been obtained based on the first non-linear approximation of quasilinear systems with aftereffect and systems with aftereffect with the degree of non-linearity higher than the first degree.",
keywords = "Functional, Constant, Condition, Inequality, System, solution, integral equation, structural minimization.",
author = "Bondarenko, {Lidiya Alekseevna} and Zubov, {Afanasy Vladimirovich} and Zubova, {Alexandra Fedorovna} and Zubov, {Sergey Vladimirovich} and Orlov, {Vyacheslav Borisovich}",
year = "2015",
language = "не определен",
volume = "12",
pages = "779--788",
journal = "Biosciences Biotechnology Research Asia",
issn = "0973-1245",
publisher = "Oriental Scientific Publishing Company",
number = "1",

}

RIS

TY - JOUR

T1 - Stability of Quasilinear Dynamic Systems with after Effect

AU - Bondarenko, Lidiya Alekseevna

AU - Zubov, Afanasy Vladimirovich

AU - Zubova, Alexandra Fedorovna

AU - Zubov, Sergey Vladimirovich

AU - Orlov, Vyacheslav Borisovich

PY - 2015

Y1 - 2015

N2 - The work is devoted to development of mathematical apparatus which facilitates analysis of stability of control systems with aftereffect including analytical methods and numerical algorithms for solution of stability problems by the first non-linear approximation and problems of robust stability for these systems. The article discusses the issues of existence and stability of stationary modes in dynamic systems with aftereffect, as well as influence of external limited impacts on these modes. Criteria of stability have been obtained based on the first non-linear approximation of quasilinear systems with aftereffect and systems with aftereffect with the degree of non-linearity higher than the first degree.

AB - The work is devoted to development of mathematical apparatus which facilitates analysis of stability of control systems with aftereffect including analytical methods and numerical algorithms for solution of stability problems by the first non-linear approximation and problems of robust stability for these systems. The article discusses the issues of existence and stability of stationary modes in dynamic systems with aftereffect, as well as influence of external limited impacts on these modes. Criteria of stability have been obtained based on the first non-linear approximation of quasilinear systems with aftereffect and systems with aftereffect with the degree of non-linearity higher than the first degree.

KW - Functional

KW - Constant

KW - Condition

KW - Inequality

KW - System

KW - solution

KW - integral equation

KW - structural minimization.

M3 - статья

VL - 12

SP - 779

EP - 788

JO - Biosciences Biotechnology Research Asia

JF - Biosciences Biotechnology Research Asia

SN - 0973-1245

IS - 1

ER -

ID: 5771539