Open AccessAdaptive synchronization of a class of fractional-order chaotic systems
Author(s) -
Ma Tie-Dong,
Jiang Wei-Bo,
Jie Fu,
Yi Chai,
Liping Chen,
Fangzheng Xue
Publication year - 2012
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.61.160506
Subject(s) - synchronization (alternating current) , synchronization of chaos , computer science , generality , lyapunov stability , control theory (sociology) , controller (irrigation) , chaotic systems , stability (learning theory) , chaotic , class (philosophy) , simple (philosophy) , chaos (operating system) , adaptive control , fractional order system , order (exchange) , fractional calculus , mathematics , control (management) , artificial intelligence , channel (broadcasting) , biology , agronomy , finance , philosophy , computer security , psychotherapist , computer network , psychology , epistemology , machine learning , economics
In view of chaos synchronization of a class of fractional-order chaotic systems, a novel adaptive controller and adaptive updating law are designed based on the quasi-Lyapunov stability theory for fractional-order systems. The derived method has some advantages such as simple structure, low control cost and high generality compared with the existing results. Furthermore, the method can be applied to most typical fractional-order chaotic systems. Finally, numerical simulations are used to illustrate the effectiveness of the proposed synchronization method.