Open AccessCriteria for synchronization with error bound of forced oscillators with parameters mismatch
Author(s) -
Wang Jian-gen,
Jianping Cai,
Ming Ma,
Jufu Feng
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.3367
Subject(s) - synchronization (alternating current) , upper and lower bounds , van der pol oscillator , algebraic number , control theory (sociology) , computer science , mathematics , mathematical analysis , physics , topology (electrical circuits) , nonlinear system , combinatorics , quantum mechanics , control (management) , artificial intelligence
Some algebraic criteria for synchronization with error bound of forced oscillators with different external forces are derived by Lyapunov direct method and Sylvester's criterion. Using algebraic inequalities, the synchronization error bound can be estimated. By controlling the estimated synchronization error bound, the real synchronization error bound can be controlled to be smaller than a prescribed precision of the synchronization. The Duffing-Van der Pol forced oscillator used as a numerical example verifies the effectiveness of the method.