FREQUENCY SYMBOLIC METHOD OF ASSESSMENT OF ASYMPTOTIC STABILITY OF LINEAR TIME-VARIABLE CIRCUITS

Authors

  • Yuriy Shapovalov
  • Bohdan Mandziу
  • Dariya Smal

DOI:

https://doi.org/10.47839/ijc.11.2.561

Keywords:

Linear time-variable circuits, assessment of asymptotic stability, symbolic analysis.

Abstract

The method of assessment of asymptotic stability of linear time-variable circuits by frequency symbolic approach is considered in this paper. The method consists of the replacing in criteria of stability the necessity of formation of bifrequency transfer function of circuit on the formation of a normal parametric transfer function in its inertial part. This leads to significant simplification of the method of assessment of a stability.

References

Shapovalov Yu., Mandziy B., Mankovsky S., The peculiarities of analysis of linear parametric circuit performed by frequency-symbolic method, Przeglad Elektrotechniczny (Electrical Review), (86) 1 (2010), pp. 158-160.

Shapovalov Yu., Mandziy B., Mankovsky S., Peculiarities of frequency-symbolic method applied to parametric circuit analysis, Przeglad Elektrotechniczny (Electrical Review), (86) 5 (2010), pp. 155-159.

Solodov A. V., Petrov F. S., Linear Automatic Systems with Variable Parameters, Moscow, Nauka, 1971, 620 p. (in Russian)

Brikker I. N., About frequency analysis of linear systems with variable parameters, Automatics and telemechanics, (8) (1966), pp. 43-54. (in Russian)

Shapovalov Yu. I., The peculiarities of assessment of asymptotic stability of linear parametric circuits performed by frequency symbolic method, Simulation and information technology. Collection of scientific papers IPME NAS of Ukraine, Кyiv, (55) (2010), pp. 126-133. (in Ukrainian)

Shapovalov Yu. I., Mankowsky S. V., Application of topological methods to frequency symbolic analysis of linear parametric circuits, Bulletin of Lviv Polytechnic National University “Radio electronics and telecommunications”, (618) (2008), pp. 76-81. (in Ukrainian)

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Published

2014-08-01

How to Cite

Shapovalov, Y., Mandziу B., & Smal, D. (2014). FREQUENCY SYMBOLIC METHOD OF ASSESSMENT OF ASYMPTOTIC STABILITY OF LINEAR TIME-VARIABLE CIRCUITS. International Journal of Computing, 11(2), 156-165. https://doi.org/10.47839/ijc.11.2.561

Issue

2012, Volume 11, Issue 2

Section

Articles

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