符号网络下边系统的强结构能控性OA
Strong structural controllability of edge systems under signed networks
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.
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.
薛鸿萍;关永强;路张昕
西安电子科技大学机电工程学院,陕西 西安 710071西安电子科技大学机电工程学院,陕西 西安 710071西安电子科技大学机电工程学院,陕西 西安 710071
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
multi-agent systemedge dynamicssigned networksstrong structural controllabilitysigned zero forcing sets
《控制理论与应用》 2026 (4)
747-754,8
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).
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