Volume 12, number 1
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Stability of Quasilinear Dynamic Systems with after Effect

Lidiya Alekseevna Bondarenko, Afanasy Vladimirovich Zubov, Alexandra Fedorovna Zubova, Sergey Vladimirovich Zubov and Vyacheslav Borisovich Orlov

Saint Petersburg State University, University pr. 35, St.Petersburg, 198504, Russia

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

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Bondarenko L. A, Zubov A. V, Zubova A. F, Zubov S. V, Orlov V. B.Methods of Assessing the Influence of Ultrashort Electromagnetic Pulses and Ultrahigh Frequency Radiation on Integrated Circuits. Biosci Biotech Res Asia 2015;12(1)
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Bondarenko L. A, Zubov A. V, Zubova A. F, Zubov S. V, Orlov V. B.Methods of Assessing the Influence of Ultrashort Electromagnetic Pulses and Ultrahigh Frequency Radiation on Integrated Circuits. Biosci Biotech Res Asia 2015;12(1).Available from: https://www.biotech-asia.org/?p=6153>

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