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<p>This paper studies the consensus problem of T–S fuzzy positive multi-agent systems with cyber attacks and denial of service attacks. A proportional-integral-derivative protocol is designed based on a matrix decomposition technique. By introducing new variables, the consensus problem is transformed into the stability problem of a new system. In terms of linear programming and fuzzy copositive Lyapunov functions, the positivity and consensus conditions of the systems are established. Finally, the theoretical results are verified via by an example.</p>

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Practical PID Protocol of T–S Fuzzy Positive Multi-Agent Systems Under Attacks

  • 期刊论文

  • 发表日期：

    2025年4月9日

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  • Yuanyuan Wu,
  • Renjie Fu,
  • Junfeng Zhang,
  • Bhatti Uzair Aslam

摘要

This paper studies the consensus problem of T–S fuzzy positive multi-agent systems with cyber attacks and denial of service attacks. A proportional-integral-derivative protocol is designed based on a matrix decomposition technique. By introducing new variables, the consensus problem is transformed into the stability problem of a new system. In terms of linear programming and fuzzy copositive Lyapunov functions, the positivity and consensus conditions of the systems are established. Finally, the theoretical results are verified via by an example.