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Adaptive function projective synchronization of unified chaotic systems with uncertain parameters

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  • Runzi, Luo
  • Zhengmin, Wei

Abstract

This paper addresses the function projective synchronization problem of two unified chaotic systems in the presence of unknown system parameters. Based on Lyapunov stability theory two adaptive control laws are proposed to make the states of two identical chaotic systems asymptotically synchronized according to the number of parameters. By this methods, one can achieve chaotic synchronization and identify the unknown parameters simultaneously. Numerical simulations are presented to show the effectiveness of the proposed schemes.

Suggested Citation

  • Runzi, Luo & Zhengmin, Wei, 2009. "Adaptive function projective synchronization of unified chaotic systems with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1266-1272.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1266-1272
    DOI: 10.1016/j.chaos.2009.03.076
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    References listed on IDEAS

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    1. Park, Ju H., 2007. "Adaptive modified projective synchronization of a unified chaotic system with an uncertain parameter," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1552-1559.
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    6. Wang, Yan-Wu & Guan, Zhi-Hong, 2006. "Generalized synchronization of continuous chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 97-101.
    7. Li, Guo-Hui, 2007. "Modified projective synchronization of chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1786-1790.
    8. Sun, Jitao & Zhang, Yinping, 2004. "Impulsive control and synchronization of Chua’s oscillators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(6), pages 499-508.
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