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Anticipated Function Synchronization With Unknown Parameters Of Discrete-Time Chaotic Systems

Author

Listed:
  • YIN LI

    (Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;
    Department of Mathematics and University of Electronic Science and Technology of China, Chengdu 61005, China)

  • BIAO LI

    (Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;
    Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China)

  • YONG CHEN

    (Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;
    Institute of Theoretical Computing, East China Normal University, Shanghai, 200062, China)

Abstract

In this paper, firstly, the control problem for the chaos synchronization of discrete-time chaotic (hyperchaotic) systems with unknown parameters are considered. Next, backstepping control law is derived to make the error signals between drive 2D discrete-time chaotic system and response 2D discrete-time chaotic system with two uncertain parameters asymptotically synchronized. Finally, the approach is extended to the synchronization problem for 3D discrete-time chaotic system with two unknown parameters. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

Suggested Citation

  • Yin Li & Biao Li & Yong Chen, 2009. "Anticipated Function Synchronization With Unknown Parameters Of Discrete-Time Chaotic Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(04), pages 597-608.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:04:n:s0129183109013820
    DOI: 10.1142/S0129183109013820
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