切换网络拓扑上非线性多智能体系统的二分-分量一致性
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O231.2

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国家自然科学基金项目(62466011);广西自然科学基金项目(2023GXNSFBA026141);广西科技计划项目(桂科AD23023002);2023年广西高校中青年教师基础能力提升项目(2023KY0216).


Bipartite component consensus for nonlinear multi-agent systems on switched network topologies
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    摘要:

    二分-分量一致是指多智能体系统中具有相似特性智能体的部分分量会随时间推移趋于某个相同的值, 而剩余智能体的对应分量则趋于相反的值, 是一种弱于二分一致的动力学行为. 基于此, 研究切换网络拓扑上非线性多智能体系统的二分-分量一致性问题. 首先, 考虑有向符号图上的非线性多智能体网络系统, 在切换网络拓扑满足结构平衡条件的情况下, 控制协议也相应地进行切换; 然后, 通过设计合适的控制协议, 建立相应的偏差系统, 结合图论、稳定性理论和矩阵理论, 得到该多智能体系统在发生切换拓扑情况下实现二分-分量一致的充分条件; 最后, 通过数值模拟验证理论结果的可行性.

    Abstract:

    Bipartite component consensus refers to a phenomenon in which, within a multi-agent system, the state components of agents with similar characteristics asymptotically converge to the same value, while the corresponding state components of the remaining agents converge to the opposite value. It is a dynamic behavior weaker than bipartite consensus. Therefore, the bipartite component consensus problem is investigated in the nonlinear multi-agent systems on switched network topologies. Firstly, considering the nonlinear multi-agent network system on signed directed graphs, and the control protocol switches accordingly if the switching network topology satisfies the structural balance condition. Then, by designing the appropriate control protocol, establishing the corresponding error system, combining the graph theory, stability theory and matrix theory, the sufficient conditions for the multi-agent system to realize the bipartite component consensus when the switching topology occurs are obtained. Finally, the feasibility of the theoretical results is verified by numerical simulation.

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黄宇权,甘晓亮,马忠军.切换网络拓扑上非线性多智能体系统的二分-分量一致性[J].控制与决策,2025,40(12):3597-3604

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  • 收稿日期:2025-02-10
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  • 在线发布日期: 2025-11-10
  • 出版日期: 2025-12-10
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