JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (2): 76-83.doi: 10.6040/j.issn.1671-9352.0.2013.225

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Synchronization and control of a novel fractional-order chaotic system

YANG Ye-hong, XIAO Jian*, MA Zhen-zhen   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2013-05-09 Online:2014-02-20 Published:2014-06-04

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Abstract:

A novel fractional-order chaotic system with three non-linearity quadratic terms was constructed and its basic chaotic dynamical behavior was analyzed. The control of the new chaotic system was realized by Laplace transform. Based on Lyapunov stability theory and fractional-order chaotic system stability theory, the sufficient condition of synchronization of the new fractional-order chaotic system was obtained. Further, adaptive control laws were derived to achieve chaos synchronization of the new chaotic systems with unknown parameters. Numerical simulation demonstrates the correctness of the method.

Key words: adaptive control, synchronization, fractional-order chaotic system

CLC Number: 

  • TP273
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