The Results of the assessment of stability of linear parametric systems by three methods

Authors

  • Yu. I. Shapovalov Lviv Polytechnic National University, Lviv
  • D. Smal Lviv Polytechnic National University, Lviv

DOI:

https://doi.org/10.20535/RADAP.2012.49.52-57

Keywords:

symbolic frequency method, asymptotic stability, zone of instability

Abstract

This paper  contains the comparison of results of the assessment of stability of linear parametric systems by three methods: frequency symbolic method, the method of slow amplitudes and the method based on Lyapunov's second method. The Assessment of stability  done for systems of second order  with periodically varying parameters.

Author Biographies

Yu. I. Shapovalov, Lviv Polytechnic National University, Lviv

Шаповалов Ю.І., к.т.н. доцент кафедри РЕПС

D. Smal, Lviv Polytechnic National University, Lviv

Смаль Д.Р.

References

Шаповалов Ю. И. Об оценке устойчивости линейных параметрических цепей при частотном символьном анализе / Ю. И. Шаповалов, Б. А. Мандзий, С. В. Маньковский // Изв. Вузов: Радиоэлектроника. – 2010. – № 9. – С 11-17.

Анісімов І.О. Коливання та хвилі/Анісімов І.О.; Київський національ-ний університет імені Тараса Шевченка.- К. :, 2001 – 218 с.

Белоглазов В.В. Анализ устойчивости параметрического контура вторым методом Ляпунова/ Н.Д. Бирюк, В.В. Белоглазов //Вестник ВГУ,№1,2003.-30-35 с.

Шаповалов Ю. І. Результати тестування програми символьного аналізу лінійних параметричних кіл / Ю.І. Шаповалов, С. В. Маньковський // Зб. наук. пр. ІПМЕ НАН України : Моделювання та інформаційні технології. – К. : 2008. – Вип. 49. – С.257-265.

Солодов А.В. Линейные автоматические системы с переменными параметрами / А.В. Солодов,Ф.С Петров / М.:Наука, 1971.-620 с.

Нечаев Ю.Б. Функции Ляпунова в задаче об устойчивости параметрического контура / Ю.Б. Нечаев, Н.Д. Бирюк, Е.В. Латышева // Вестник ВГУ, №11, 2007.- C,152-157.

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Published

2012-02-27

How to Cite

Шаповалов, Ю. and Смаль, Д. (2012) “The Results of the assessment of stability of linear parametric systems by three methods”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(49), pp. 52-57. doi: 10.20535/RADAP.2012.49.52-57.

Issue

No. 49 (2012)

Section

Radio Circuits and Signals

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