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Adaptive control for synchronization of a four-dimensional chaotic system via a single variable

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Abstract

This paper studies the control for synchronization of a four-dimensional system via a single variable, and a linear feedback controller and an adaptive controller are proposed. Based on the Lyapunov stability theory, the correctness of the proposed methods is strictly demonstrated. The numerical simulations further show their effectiveness.

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Authors and Affiliations

  1. School of Electronic and Information Engineering, Dalian University of Technology, Dalian, 116024, China

    Xingyuan Wang & Yaqin Wang

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  1. Xingyuan Wang
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  2. Yaqin Wang
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Correspondence to Xingyuan Wang.

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Wang, X., Wang, Y. Adaptive control for synchronization of a four-dimensional chaotic system via a single variable. Nonlinear Dyn 65, 311–316 (2011). https://doi.org/10.1007/s11071-010-9893-1

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  • DOI: https://doi.org/10.1007/s11071-010-9893-1

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