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Control and Synchronization of the Fractional-Order Lorenz Chaotic System via Fractional-Order Derivative

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  • Ping Zhou
  • Rui Ding

Abstract

The unstable equilibrium points of the fractional-order Lorenz chaotic system can be controlled via fractional-order derivative, and chaos synchronization for the fractional-order Lorenz chaotic system can be achieved via fractional-order derivative. The control and synchronization technique, based on stability theory of fractional-order systems, is simple and theoretically rigorous. The numerical simulations demonstrate the validity and feasibility of the proposed method.

Suggested Citation

  • Ping Zhou & Rui Ding, 2012. "Control and Synchronization of the Fractional-Order Lorenz Chaotic System via Fractional-Order Derivative," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, June.
    • Handle: RePEc:hin:jnlmpe:214169
    DOI: 10.1155/2012/214169
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