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<p>This paper focuses on the leader-following positive consensus problems of heterogeneous switched multi-agent systems. First, a state-feedback controller with dynamic compensation is introduced to achieve positive consensus under average dwell time switching. Then sufficient conditions are derived to guarantee the positive consensus. The gain matrices of the control protocol are described using a matrix decomposition approach and the corresponding computational complexity is reduced by resorting to linear programming and co-positive Lyapunov functions. Finally, two numerical examples are provided to illustrate the results obtained.</p>

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Leader-following positive consensus of heterogeneous switched multi-agent systems with average dwell time switching

  • 期刊论文

  • 发表日期：

    2026年1月16日

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  • Kaiming Li,
  • Wei Xing,
  • Haoyue Yang,
  • Junfeng Zhang

摘要

This paper focuses on the leader-following positive consensus problems of heterogeneous switched multi-agent systems. First, a state-feedback controller with dynamic compensation is introduced to achieve positive consensus under average dwell time switching. Then sufficient conditions are derived to guarantee the positive consensus. The gain matrices of the control protocol are described using a matrix decomposition approach and the corresponding computational complexity is reduced by resorting to linear programming and co-positive Lyapunov functions. Finally, two numerical examples are provided to illustrate the results obtained.