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Generalized Synchronization of Different Chaotic Systems Based on Nonnegative Off-Diagonal Structure

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  • Ling Guo
  • Xiaohong Nian
  • Huan Pan

Abstract

The generalized synchronization problem is studied in this paper for different chaotic systems with the aid of the direct design method. Based on Lyapunov stability theory and matrix theory, some sufficient conditions guaranteeing the stability of a nonlinear system with nonnegative off-diagonal structure are obtained. Then the control scheme is designed from the stable system by the direct design method. Finally, two numerical simulations are provided to verify the effectiveness and feasibility of the proposed method.

Suggested Citation

  • Ling Guo & Xiaohong Nian & Huan Pan, 2013. "Generalized Synchronization of Different Chaotic Systems Based on Nonnegative Off-Diagonal Structure," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, October.
  • Handle: RePEc:hin:jnlmpe:596251
    DOI: 10.1155/2013/596251
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