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Exponential Synchronization of Chaotic Systems with Stochastic Perturbations via Quantized Feedback control

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Abstract

In this paper, the exponential synchronization problem is investigated for chaotic systems under the quantized feedback control. The chaotic systems are represented by the unified model with time delays and stochastic perturbations. The quantized feedback control strategy is studied for the unified model with state and control quantizers, which are connected by using two dynamic scalars. The one-step control approach is put forward to make sure the exponential synchronization of drive-response systems. The corresponding control gain and two scalars are provided by solving linear matrix inequalities. Finally, the obtained results are illustrated by a numerical example.

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Acknowledgements

This work is partially supported by National Natural Science Foundation of China (61673257, 11501367, 61573095).

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Correspondence to Dongbing Tong.

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Wang, Y., Tong, D., Chen, Q. et al. Exponential Synchronization of Chaotic Systems with Stochastic Perturbations via Quantized Feedback control. Circuits Syst Signal Process 39, 474–491 (2020). https://doi.org/10.1007/s00034-019-01167-1

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Keywords

  • Quantized feedback control
  • Unified model
  • Exponential synchronization
  • Chaotic systems