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This paper investigates the observer-based event-triggered \(L_{1}\) consensus of positive Markov jump multi-agent systems with exogenous disturbances. First, a control protocol is constructed by virtue of a matrix decomposition technique. A novel event-triggered mechanism is proposed for the systems. Then, an augmented system is constructed for the consensus protocol of the systems. By using matrix decomposition technique and linear programming, the consensus problem of the systems is transformed into the stability problem of the augmented system. The contributions of this paper lie in that: (i) A novel framework on the control protocol of positive Markov jump multi-agent systems is constructed, (ii) An event-triggered mechanism is constructed for the considered systems, and (iii) The \(L_{1}\) consensus of the systems is achieved with exogenous disturbances. Finally, one illustrative example show the effectiveness of the obtained design.

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Observer-Based Consensus of Positive Markov Jump Multi-agent Systems

  • 会议论文

  • 发表日期：

    2025年

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  • Zhentai Duan,
  • Linyan Han,
  • Wei Xing,
  • Junfeng Zhang

摘要

This paper investigates the observer-based event-triggered \(L_{1}\) consensus of positive Markov jump multi-agent systems with exogenous disturbances. First, a control protocol is constructed by virtue of a matrix decomposition technique. A novel event-triggered mechanism is proposed for the systems. Then, an augmented system is constructed for the consensus protocol of the systems. By using matrix decomposition technique and linear programming, the consensus problem of the systems is transformed into the stability problem of the augmented system. The contributions of this paper lie in that: (i) A novel framework on the control protocol of positive Markov jump multi-agent systems is constructed, (ii) An event-triggered mechanism is constructed for the considered systems, and (iii) The \(L_{1}\) consensus of the systems is achieved with exogenous disturbances. Finally, one illustrative example show the effectiveness of the obtained design.