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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. M. 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, Moscow, 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, Motion Stability Theory (Nauka, Moscow, 1966) [in Russian].
D. R. Merkin, Introduction to Motion Stability Theory (Nauka, Moscow, 1987) [in Russian].
A. I. Maltsev, Basics of Linear Algebra (Nauka, Moscow, 1966) [in Russian].
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.V. Beloglazov, N.D. Biryuk, 2007, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2007, Vol. 50, No. 8, pp. 55–63.
About this article
Cite this article
Beloglazov, V.V., Biryuk, N.D. Lapunov’s functions usage in radio circuits’ theory. Radioelectron.Commun.Syst. 50, 446–451 (2007). https://doi.org/10.3103/S0735272707080079
Revised:
Issue Date:
DOI: https://doi.org/10.3103/S0735272707080079