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<p>In this paper, the authors investigate the consensus control problems of multiagent systems in undirected network settings where all agents obey third-order fractional-order dynamics. Three types of consensus are discussed: The typical consensus, the scaled consensus and the scaled group consensus. For realizing these agents’ consensus control, the authors design distributed consensus protocols, and derive accurate consensus states and explicit convergence criterion based on matrix theory and the basic properties of both fractional-order derivatives and fractional-order integrals. Finally, several simulations are presented to guarantee the effectiveness of the theoretical results.</p>

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Consensus Control of Third-Order Fractional-Order Multiagent Systems

  • 期刊论文

  • 发表日期：

    2026年5月6日

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  • Junyan Yu,
  • Ting Wei

摘要

In this paper, the authors investigate the consensus control problems of multiagent systems in undirected network settings where all agents obey third-order fractional-order dynamics. Three types of consensus are discussed: The typical consensus, the scaled consensus and the scaled group consensus. For realizing these agents’ consensus control, the authors design distributed consensus protocols, and derive accurate consensus states and explicit convergence criterion based on matrix theory and the basic properties of both fractional-order derivatives and fractional-order integrals. Finally, several simulations are presented to guarantee the effectiveness of the theoretical results.