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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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