多智能体系统的二部一致性问题研究

Research on Bipartite Consensus Problems of Multi-Agent Systems

本文针对合作与竞争机制并存的一阶离散时间多智能体系统,应用符号图理论、非负矩阵理论和稳定性理论,通过规范变换,建立了无向拓扑及有向拓扑下一阶离散时间多智能体系统的二部一致性理论。

For a first-order discrete-time multi-agent system in which cooperation and competition mechanism coexist, we establish its bipartite consensus theories under undirected and directed topology graph based on graph theory, nonnegative matrix theory and stability theory through gauge transformation.