Adaptive Lag Synchronization of Lorenz Chaotic System with Uncertain Parameters

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DOI: 10.4236/am.2012.36083    4,037 Downloads   6,634 Views  Citations

ABSTRACT

The paper discusses lag synchronization of Lorenz chaotic system with three uncertain parameters. Based on adaptive technique, the lag synchronization of Lorenz chaotic system is achieved by designing a novel nonlinear controller. Furthermore, the parameters identification is realized simultaneously. A sufficient condition is given and proved theoreticcally by Lyapunov stability theory and LaSalle’s invariance principle. Finally, the numerical simulations are provided to show the effectiveness and feasibility of the proposed method.

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Y. Chen, Z. Jia and G. Deng, "Adaptive Lag Synchronization of Lorenz Chaotic System with Uncertain Parameters," Applied Mathematics, Vol. 3 No. 6, 2012, pp. 549-553. doi: 10.4236/am.2012.36083.

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