Open AccessSynchronizing fractional chaotic systems based on Lyapunov equation
Author(s) -
Jinbo Hu,
Huiyu Yan,
Lanhao Zhao
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.57.7522
Subject(s) - synchronizing , lyapunov stability , chaotic , stability (learning theory) , chaotic systems , lyapunov equation , computer science , identification (biology) , lorenz system , stability theory , lyapunov exponent , lyapunov function , mathematics , control theory (sociology) , statistical physics , physics , nonlinear system , control (management) , quantum mechanics , botany , artificial intelligence , machine learning , biology , telecommunications , transmission (telecommunications)
This paper advances a theory of stability identification based on Lyapunov equation for fractional system whose order is not higher than 1. The theory is successfully applied to synchronize fractional Lorenz chaotic systems with uncertain parameters. Numerical simulation certifies validity of the theory.