| 引用本文: | 任世超,关永强,谌煜.有向符号网络的边能控性研究[J].控制理论与应用,2023,40(1):74~82.[点击复制] |
| REN Shi-chao,GUAN Yong-qiang,SHEN Yu.Edge controllability of directed signed networks[J].Control Theory and Technology,2023,40(1):74~82.[点击复制] |
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| 有向符号网络的边能控性研究 |
| Edge controllability of directed signed networks |
| 摘要点击 1281 全文点击 479 投稿时间：2021-05-10 修订日期：2022-04-20 |
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| DOI编号 10.7641/CTA.2021.10391 |
| 2023,40(1):74-82 |
| 中文关键词 多智能体系统 边能控性 有向符号图 图划分 关联矩阵 |
| 英文关键词 multi-agent system edge controllability signed directed graph graph partition incidence matrix |
| 基金项目 国家自然科学基金项目(62073253, 62036002, 61773023), 中央高校基本科研业务费项目(JB210418)资助. |
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| 中文摘要 |
| 符号网络是一类具有正负符号特征的网络. 在多智能体系统中, 符号网络能够描述智能体之间的合作与对
抗交互关系, 因此受到学者的广泛关注. 本文主要研究有向符号网络的边能控性. 首先, 对具有符号网络的多智能体
系统边动力学进行建模, 得到边能控性模型. 其次, 从网络拓扑结构角度对边能控子空间进行定量刻画, 利用有向符
号网络的距离和等价划分得到能控子空间的上下界估计. 进一步, 讨论了符号网络边能控性与顶点能控性的关系.
所得结果表明: 当顶点符号图为结构非平衡时, 符号网络的边能控性与顶点能控性等价. 最后, 通过仿真结果验证所
得理论的有效性. |
| 英文摘要 |
| Signed network is a type of network with positive and negative signed characteristics. In multi-agent systems,
the signed network can describe the cooperative and antagonistic interaction between agents, so it has received extensive
attention from scholars. This paper mainly studies the edge controllability of directed signed networks. Firstly, the edge
dynamics of the multi-agent systems with the signed network is modeled, and the edge controllability model is proposed.
Secondly, the edge controllability subspace is quantitatively described from the perspective of the network topology, the
upper and lower bounds of the edge controllable subspace are estimated by using the distance partition and equitable partition of the directed signed network, respectively. Furthermore, the relationship between edge controllability and vertex
controllability of the signed network is discussed. The results show that when the vertex signed graph is structurally unbalanced, the edge controllability and the vertex controllability of signed network are equivalent. Finally, simulation results
are given to verify the effectiveness of the theoretical analysis. |
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