Lapunov’s functions usage in radio circuits’ theory

Authors

  • V. V. Beloglazov Voronezh State University, Russian Federation
  • Nikolay D. Biryuk Voronezh State University, Russian Federation

DOI:

https://doi.org/10.3103/S0735272707080079

Abstract

When analyzing linear differential equations’ stability using Lapunov’s second method, Lapunov’s functions are usually chosen in quadratic form. In radio circuits’ theory Lapunov’s second method by force of existing traditions is applied in rarer cases than for example in mechanics or astronomy. In this article several modifications of the Lapunov’s function are suggested on parametric circuit example. Method which is used here applies to linear radio circuits of general type.

References

А. М. Lapunov, Collection of Works, Vol. 2 (USSR Academy of Science, 1956) [in Russian].

N. G. Chetayev, Motion Stability (Moscow, 1990) [in Russian].

G. N. Duboshin, Basics of Motion Stability Theory (Nauka, Мoscow, 1952) [in Russian].

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

K. P. Persidskiy, Selected Works in Two Volumes, Vol. 1: Stability Theory of Differential Equations Solutions. Probability Theory (Moscow, 1976) [in Russian].

I. N. Malkin, Мotion Stability Theory (Nauka, Moscow, 1966) [in Russian].

D. R. Merkin, Introduction to Motion Stability Theory (Nauka, Мoscow, 1987) [in Russian].

A. I. Maltsev, Basics of Linear Algebra (Nаukа, Moscow, 1966) [in Russian].

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Published

2007-08-07

Issue

Vol. 50 No. 8 (2007)

Section

Research Articles