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<p>The master-slave synchronization problem for a class of fractional-order complex-valued chaotic memristive systems is addressed by a hybrid event-triggered impulsive control (ETIC) approach and the decomposition of complex-valued dynamical systems into two real-valued systems. We ascertain that exponential master-slave synchronization for the real and imaginary parts of fractional-order complex-valued chaotic memristive neural networks (FCVCMNNs) can be achieved under certain conditions using the ETIC mechanism based on the concepts of average impulsive interval and fractional Lyapunov function theory. Furthermore, the non-Zeno problem is thoroughly addressed. The effectiveness of the theoretical analysis is validated through numerical simulations. The efficiency and superiority of the results for a secure communication scheme based on the ETIC mechanism of FCVCMNNs are demonstrated.</p>

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Secure communication based on an impulsive and event-triggered synchronization control mechanism of fractional-order chaotic complex-valued memristive neural networks

  • 期刊论文

  • 发表日期：

    2025年12月12日

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  • G. Narayanan,
  • M. Syed Ali,
  • Karthikeyan Rajagopal,
  • Sangtae Ahn,
  • R. Perumal

摘要

The master-slave synchronization problem for a class of fractional-order complex-valued chaotic memristive systems is addressed by a hybrid event-triggered impulsive control (ETIC) approach and the decomposition of complex-valued dynamical systems into two real-valued systems. We ascertain that exponential master-slave synchronization for the real and imaginary parts of fractional-order complex-valued chaotic memristive neural networks (FCVCMNNs) can be achieved under certain conditions using the ETIC mechanism based on the concepts of average impulsive interval and fractional Lyapunov function theory. Furthermore, the non-Zeno problem is thoroughly addressed. The effectiveness of the theoretical analysis is validated through numerical simulations. The efficiency and superiority of the results for a secure communication scheme based on the ETIC mechanism of FCVCMNNs are demonstrated.