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Chaos Synchronization Of Two Coupled Dynamos Systems With Unknown System Parameters

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  • H. N. AGIZA

    (Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt)

Abstract

This paper addresses the synchronization problem of two coupled dynamos systems in the presence of unknown system parameters. Based on Lyapunov stability theory, an active control law is derived and activated to achieve the state synchronization of two identical coupled dynamos systems. By using Gerschgorin theorem, a simple generic criterion is derived for global synchronization of two coupled dynamos systems with a unidirectional linear error feedback coupling. This simple criterion is applicable to a large class of chaotic systems, where only a few algebraic inequalities are involved. Numerical simulations results are used to demonstrate the effectiveness of the proposed control methods.

Suggested Citation

  • H. N. Agiza, 2004. "Chaos Synchronization Of Two Coupled Dynamos Systems With Unknown System Parameters," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(06), pages 873-883.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:06:n:s0129183104006303
    DOI: 10.1142/S0129183104006303
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    Cited by:

    1. Hu, Wuhua & Wang, Jiang & Li, Xiumin, 2009. "An approach of partial control design for system control and synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1410-1417.
    2. Mahmoud, Gamal M. & Aly, Shaban A. & Farghaly, Ahmed A., 2007. "On chaos synchronization of a complex two coupled dynamos system," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 178-187.

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