三阶多智能体系统在固定拓扑下的分组一致性
Group Consensus of Third-Order Multi-Agent Systems with Fixed Topology
DOI: 10.12677/PM.2018.83042, PDF,  被引量    国家自然科学基金支持
作者: 司马嘉欢, 丁孝全*：河南科技大学数学与统计学院，河南 洛阳
关键词: 三阶多智能体系统；分组一致性；固定拓扑；Third-Order Multi-Agent System； Group Consensus； Fixed Topology
摘要: 本文讨论三阶多智能体系统在固定有向拓扑下的分组一致性。利用代数图论和矩阵理论，建立了三阶多智能体系统实现分组一致性的充要条件。数值模拟验证了理论结果的有效性。
Abstract: This paper is concerned with the group consensus problem for third-order multi-agent systems with fixed directed topology. By using algebraic graph theory and matrix theory, necessary and sufficient conditions are derived for multi-agent systems to achieve group consensus. Finally, a simulation example is given to verify the effectiveness of the theoretical results.
文章引用：司马嘉欢, 丁孝全. 三阶多智能体系统在固定拓扑下的分组一致性[J]. 理论数学, 2018, 8(3): 315-324. https://doi.org/10.12677/PM.2018.83042

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