| 引用本文: | 薛鸿萍,关永强,路张昕.符号网络下边系统的强结构能控性[J].控制理论与应用,2026,43(4):747~754.[点击复制] |
| XUE Hong-ping,GUAN Yong-qiang,LU Zhang-xin.Strong structural controllability of edge systems under signed networks[J].Control Theory & Applications,2026,43(4):747~754.[点击复制] |
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| 符号网络下边系统的强结构能控性 |
| Strong structural controllability of edge systems under signed networks |
| 摘要点击 163 全文点击 28 投稿时间：2024-05-07 修订日期：2025-10-14 |
| 查看全文 查看/发表评论 下载PDF阅读器 HTML |
| DOI编号 10.7641/CTA.2024.40259 |
| 2026,43(4):747-754 |
| 中文关键词 多智能体系统 边动力学 符号网络 强结构能控性 符号零迫集 |
| 英文关键词 multi-agent system edge dynamics signed networks strong structural controllability signed zero forcing sets |
| 基金项目 国家自然科学基金项目(62073253, 62036002)资助. |
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| 中文摘要 |
| 本文针对符号网络研究了边系统的强结构能控性问题. 首先, 基于领导者–跟随者框架, 构建了边动力学系
统的强结构能控性模型, 并通过分析系统矩阵得到了边系统强结构能控的基本性质; 其次, 引入了边符号图的颜色
变化规则, 在此基础上, 分析了边权符号特性对强结构能控性的影响, 得到了刻画边系统强结构能控的图论充分条
件. 结果表明, 当边系统的领导者集合是一个符号零迫集时, 该系统是强结构能控的; 此外, 构造了一个符号零迫集
搜索算法, 该算法能够有效识别出任意给定边图的符号零迫集; 最后, 通过数值仿真例子验证了所得理论结果的有
效性. |
| 英文摘要 |
| This paper investigates the strong structural controllability of edge systems under signed networks. Firstly,
based on the leader-follower framework, the model of the strong structural controllability for edge dynamic systems is
established, and the basic property of the strong structural controllability for edge systems is obtained by analyzing the
system matrix. Secondly, the color change rule of the edge signed graph is introduced, based on which, by analyzing
the influence of the edge weighted signed property on the strong structural controllability, the graph theoretic sufficient
condition for portraying the strong structural controllability of edge systems is obtained. The result shows that the edge
system is strongly structurally controllable when its leader set is a signed zero forcing set. In addition, a search algorithm
for the signed zero forcing sets is constructed, which can effectively identify the signed zero forcing sets of any given edge
graph. Finally, the simulation examples are given to demonstrate the effectiveness of the theoretical results. |
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