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Projective Synchronization of N -Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control

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  • Baogui Xin
  • Tong Chen

Abstract

Based on linear feedback control technique, a projective synchronization scheme of N -dimensional chaotic fractional-order systems is proposed, which consists of master and slave fractional-order financial systems coupled by linear state error variables. It is shown that the slave system can be projectively synchronized with the master system constructed by state transformation. Based on the stability theory of linear fractional order systems, a suitable controller for achieving synchronization is designed. The given scheme is applied to achieve projective synchronization of chaotic fractional-order financial systems. Numerical simulations are given to verify the effectiveness of the proposed projective synchronization scheme.

Suggested Citation

  • Baogui Xin & Tong Chen, 2012. "Projective Synchronization of N -Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-10, July.
    • Handle: RePEc:hin:jnddns:191063
    DOI: 10.1155/2012/191063
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