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<p>In this article, the nonfragile control issue is explored for semi-Markov jump singularly perturbed systems (SMJSPSs) utilizing the semi-Markov kernel method. When studying the considered systems under denial of service attacks, some virtual points are inserted to obtain stability analysis conditions for SMJSPSs. The mean-square exponential stability (MSES) criterion is inferred. Following these, a nonfragile controller is proposed as a way to assure MSES and <i>ℌ</i><sub>∞</sub> performance in the considered systems. Lastly, a numerical simulation and an inverted pendulum model are presented to confirm the theoretical results’ reliability</p>

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ℌ∞ Control for Singularly Perturbed Semi-Markov Jump Systems Under Denial of Service Attacks

  • 期刊论文

  • 发表日期：

    2025年7月3日

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  • Chao Jiang,
  • Jianwei Xia,
  • Jing Wang,
  • Hao Shen

摘要

In this article, the nonfragile control issue is explored for semi-Markov jump singularly perturbed systems (SMJSPSs) utilizing the semi-Markov kernel method. When studying the considered systems under denial of service attacks, some virtual points are inserted to obtain stability analysis conditions for SMJSPSs. The mean-square exponential stability (MSES) criterion is inferred. Following these, a nonfragile controller is proposed as a way to assure MSES and ℌ∞ performance in the considered systems. Lastly, a numerical simulation and an inverted pendulum model are presented to confirm the theoretical results’ reliability