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Controlled synchronization of discrete-time chaotic systems under communication constraints

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Abstract

This paper investigates the controlled synchronization problem for a class of nonlinear discrete-time chaotic systems subject to limited communication capacity. A general chaotic master system and its slave system with a controller are connected via a limited capacity channel. In this case, the effect of quantization errors is considered. A practical quantized scheme is proposed so that the synchronization error is input-to-state stable with respect to the transmission error. Meanwhile, the transmission error decays to zero exponentially. This implies that the synchronization error converges to zero under a limited communication channel. A simulation example for the Fold chaotic system is presented to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. Department of Mathematics, Zhoukou Normal University, Henan, 466001, China

    Wei Liu

  2. Department of Automation, Shanghai Jiao Tong University, Shanghai, 200240, China

    Wei Liu & Weidong Zhang

  3. Department of Mathematics, East China Normal University, Shanghai, 200241, China

    Zhiming Wang

Authors
  1. Wei Liu
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  2. Zhiming Wang
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  3. Weidong Zhang
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Correspondence to Zhiming Wang.

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Liu, W., Wang, Z. & Zhang, W. Controlled synchronization of discrete-time chaotic systems under communication constraints. Nonlinear Dyn 69, 223–230 (2012). https://doi.org/10.1007/s11071-011-0259-0

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  • DOI: https://doi.org/10.1007/s11071-011-0259-0

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