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A problem of stability of parametrical system of two coupled circuits with external conductive connection

Nikolay D. Biryuk, Yu. B. Nechaev, S. Yu. Alyohin


Stability provision problem is very important in radio electronics. Each unstable amplifier self-excites and causes damage to radio equipment. Unstability of parametrical oscillating circuits is specified by physical nature of their functioning. Self-exciting appears where temporal variable reactance is present. Two coupled circuits are widely spread in practice. The simplest ones are systems with conductive connection, but nevertheless they are more complicated than parametric oscillating circuit. In this paper a problem of such system stability provision is considered. Analysis is carried out based on Lyapunov’s stability theory.

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B. P. Demidovich, Lectures about Mathematical Stability Theory (Nauka, Moscow, 1967) [in Russian].

V. A. Yakubovich and V. M. Starzhinskiy, Linear Differential Equations with Periodic Coefficients and Their Applications (Nauka, Moscow, 1972) [in Russian].

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