On estimating the stability of linear parametric circuits during frequency symbol analysis

Authors

  • Yu. Shapovalov Lviv Polytechnic National University, Ukraine
  • B. A. Mandziy Lviv Polytechnic National University, Ukraine
  • S. Mankovsky Lviv Polytechnic National University, Ukraine

DOI:

https://doi.org/10.3103/S0735272710090025

Abstract

In the article the possibility of estimating asymptotic stability of linear parametric circuits during frequency symbolic analysis and approximation of the circuit's transfer function by truncated Fourier series is considered. Estimate of asymptotic stability is conducted on the basis of normal, not the bi-frequency, transfer function as in the usual case. An example of estimating asymptotic stability of a single-contour parametric amplifier is provided.

References

А. V. Solodov and F. S. Petrov, Linear Automatic Systems with Variable Parameters (Nauka, Moscow, 1971) [in Russian].

I. N. Brikker, “On frequency analysis of linear systems with variable parameters,” A&T, No. 8, 43 (1966).

Yu. Shapovalov and B. Mandziy, “Symbolic analysis of linear parametric circuits: status of questions, contents and applications,” Electrical Engineering, No. 59, 3 (2007).

V. P. Sigorskii and А. I. Petrenko, Analysis of Electronic Circuits (Vyssh. Shkola, Kyiv, 1971) [in Russian].

Yu. І. Shapovalov and S. V. Mankovsky, “Application of topological methodas during symbolic analysis of linear patametric circuits,” in Elektronika ta Telekomunikatsii, Visnuk NU “L’vivs’ka politehnika” (Lviv, 2008), No. 618, pp. 76–81.

L. A. Zadeh, “Frequency Analysis of Variable Networks,” Proc. IRE 39 (1950).

Yu. І. Shapovalov, “Peculiarities of estimating asymptotic stability of linear parametric circuits using frequency symbolic method,” in Modelling and Information Technologies, Zb. nauk. pr. IPME NAN Ukrainy (Lviv, 2010), No. 55, pp. 126–133.

Published

2010-09-02

Issue

Section

Research Articles