Open AccessSynchronization of fractional-order chaotic systems with different structures
Author(s) -
Ruoxun Zhang,
Shaopeng Yang
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.57.6852
Subject(s) - synchronization (alternating current) , computer science , fractional order system , controller (irrigation) , chaotic systems , chen , control theory (sociology) , lorenz system , chaotic , stability (learning theory) , order (exchange) , synchronization of chaos , scheme (mathematics) , control (management) , fractional calculus , mathematics , mathematical analysis , artificial intelligence , paleontology , channel (broadcasting) , finance , machine learning , biology , agronomy , economics , computer network
Based on stability theory of fractional-order linear systems, a novel method combining feedback control and active control is proposed for the synchronization between two different fractional-order chaotic systems. The controller is obtained, and the method can be applied to solve synchronization problems of several classes of fractional-order chaotic systems, e.g., Lorenz system, Rssler system, Chen system, Liu system, Lü system, Rssler hyperchaotic system and the new hyperchaotic system. Numerical simulation results are presented to demonstrate the effectiveness and feasibility of the proposed method.