Application of the frequency symbolic method for analysis of established modes of linear periodically time-variable (LPTV) circuits to solving an optimization task conditioned by the control of their asymptotic stability is considered. The results of optimization of a parametric balanced modulator with respect to the criterion which is based on calculation of the parametric transfer functions approximated by Fourier trigonometric polynomials are presented.
- Y. Shapovalov, The Peculiarities of Analysis of Linear Parametric Circuit Performed by Frequency-Symbolic Method // Przeglad Elektrotechniczny. – Vol. 86, № 1. – 2010. – P.158–160.
- Y. Shapovalov, B. Mandziy,. Symbolic Analysisi of Linear Parametric Circuits: Current Approach and Application Directions // Teoretychna elektrotekhika. – Lviv, Ukraine: Publishing house of Ivan Franko National University of Lviv. – № 59. – 2007. – P. 3-9.
- A. Solodov, F. Pietrov, Linear Automatic Systems with Varying Parameters. – Moscow, Ruaais: Nauka, 1971. – 620 p. (Russian)
- Y. Shapovalov, B. Mandziy, D. Smal, Frequency Symbolic Method for Estimation of Asysmptotic Stability of Linear Parametric Circuits. // International Journal of Computing. – Ternopil, Ukraine: Publishing house of Ternopil National Economic University. – Vol. 11, № 2. – 2012. – P. 156–165.
- Y. Shapovalov, Devepopment of Theory of Symbolic Analysis of Linear Parametric Circuits in the Frequency Domain // Dissertation for the Degree of Doctor of Sciences in Engineering. – Lviv, Ukraine: Publishing house of Lviv Polytechnic National University. – 2012. – 413 p. (Ukrainian)
- Automation of Schematic Design [Edited by V. Ilin] . – Moscow, Russia: Radio i sviaz. – 1987. – 368 p. (Russian)
- Y. Tryus, V. Tryus, Optymization of Multi-extremum Functions by Applying Hybrid Methods in MATLAB R2007A. // Prykladna matematyka. Informatyka». Cherkasy, Ukraine: Publishing house of Cherkasy University. – № 172. – 2010. – P. 104-122. (Ukrainian)
- Y. Shapovalov, B. Mandziy, D. Smal, J. Lipinski, Frequency Symbolic Models of Linear Parametric Circuits // Przeglad Elektrotechniczny. - Vol. 88, № 3а. – 2012. –P. 52–54.