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<p>This study addresses the problem of reachable set synthesis (RSS) for Takagi-Sugeno (T-S) fuzzy semi-Markov jump neural networks (SMJNNs) with bounded perturbations. First, to address the issue of constrained communication resources in the networked systems, a dynamic event-triggered mechanism (ETM) is adopted. The dynamic ETM inevitably causes asynchronous behavior between controller and system. In order to explain the asynchronous behavior between the system and the controller, the hidden Markov model is adopted. Second, we design a fuzzy security asynchronous controller under the effects of denial-of-service attacks. Subsequently, we derive the sufficient conditions for the RSS of T-S fuzzy SMJNNs by applying the Lyapunov functional and the free-weighting matrices approach. Then, the weighting matrices of dynamic ETM and the gains are attained by the matrix transformation technique. Finally, we verify the feasibility of the proposed technique using two nonlinear practical examples.</p>

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Dynamic Event-Based Reachable Set Synthesis for T-S Fuzzy Hidden Semi-Markov Jump Neural Networks Under DoS Attacks

  • 期刊论文

  • 发表日期：

    2025年4月9日

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  • Zhihao Shen,
  • Liang Zhang,
  • Ning Zhao

摘要

This study addresses the problem of reachable set synthesis (RSS) for Takagi-Sugeno (T-S) fuzzy semi-Markov jump neural networks (SMJNNs) with bounded perturbations. First, to address the issue of constrained communication resources in the networked systems, a dynamic event-triggered mechanism (ETM) is adopted. The dynamic ETM inevitably causes asynchronous behavior between controller and system. In order to explain the asynchronous behavior between the system and the controller, the hidden Markov model is adopted. Second, we design a fuzzy security asynchronous controller under the effects of denial-of-service attacks. Subsequently, we derive the sufficient conditions for the RSS of T-S fuzzy SMJNNs by applying the Lyapunov functional and the free-weighting matrices approach. Then, the weighting matrices of dynamic ETM and the gains are attained by the matrix transformation technique. Finally, we verify the feasibility of the proposed technique using two nonlinear practical examples.