Open AccessSynchronization of fractional-order unified chaotic system via linear control
Author(s) -
Ruoxun Zhang,
Shaopeng Yang,
Yongli Liu
Publication year - 2010
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.59.1549
Subject(s) - synchronization (alternating current) , synchronization of chaos , control theory (sociology) , chen , chaotic , fractional order system , constant (computer programming) , lorenz system , computer science , chaotic systems , order (exchange) , stability (learning theory) , chaos (operating system) , nonlinear system , control of chaos , control (management) , fractional calculus , mathematics , physics , telecommunications , computer security , artificial intelligence , biology , paleontology , machine learning , programming language , finance , economics , channel (broadcasting) , quantum mechanics
Chaos synchronization in fractional-order unified chaotic system is disscussed in this paper. Based on the stability theory of fractional-order system, the control law is presented to achieve chaos synchronization. The advantage of the proposed controllers is that they are linear and have lower dimensions than that of the states. With this technique it is very easy to find the suitable feedback constant. Simulation results for fractional-order Lorenz, Lü and Chen chaotic systems are provided to illustrate the effectiveness of the proposed scheme.