控制理论与应用2026，Vol.43Issue(4)：747-754,8.DOI:10.7641/CTA.2024.40259
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
Abstract
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.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Key words
multi-agent system/edge dynamics/signed networks/strong structural controllability/signed zero forcing sets引用本文复制引用
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):747-754,8.基金项目
国家自然科学基金项目(62073253,62036002)资助. Supported by the National Natural Science Foundation of China(62073253,62036002). （62073253,62036002）
