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Asymptotic stabilization and synchronization of parametric LCR resonant circuit using the characteristics of its coefficients
Author(s) -
Inoue Kaoru,
Yamamoto Shigeru,
Ushio Toshimitsu,
Kato Toshiji
Publication year - 2006
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.20142
Subject(s) - synchronizing , parametric statistics , control theory (sociology) , exponential stability , synchronization (alternating current) , stability (learning theory) , mathematics , rlc circuit , mathematical analysis , computer science , physics , control (management) , topology (electrical circuits) , combinatorics , statistics , quantum mechanics , capacitor , voltage , nonlinear system , artificial intelligence , machine learning
In this paper, we analyze stability of a time‐varying system represented by second‐order vector differential equations based on the characteristics of their coefficient matrices. New sufficient conditions for asymptotic stability of the equilibrium points are derived. Then, an asymptotic stabilizing control method of parametric LCR resonant system is discussed by using the obtained sufficient conditions. A method synchronizing two parametric LCR resonant systems is also given. The effectiveness of the results is illustrated by numerical examples. © 2005 Wiley Periodicals, Inc. Electr Eng Jpn, 154(3): 48–55, 2006; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20142