摘要
从图等价划分的角度,研究了矩阵权重有向符号网络上多智能体系统的可控性问题。利用符号矩阵权重网络的平衡划分,结合矩阵论,给出了可控子空间的上界以及系统不可控的条件。最后通过实例对理论结果进行了验证。
This paper studies the controllability problem of multi-agent systems with matrix-weighted cooperative and competitive directed networks from the perspective of graph equivalent partition,which is a generalization of scalar-weighted networks.By using the signed matrix-weighted equivalent partition of matrix-weighted networks and matrix theory,the upper bound of controllable subspace and the uncontrollable condition of the multi-agent systems are given.Finally,the theoretical results are verified by an example.
作者
妙锁霞
凌和良
杨金戈
MIAO Suoxia;LING Heliang;YANG Jinge(School of Sciences,Nanchang Institute of Technology,Nanchang 330099,China)
出处
《南昌工程学院学报》
CAS
2023年第4期100-103,共4页
Journal of Nanchang Institute of Technology
基金
江西省教育厅科学技术研究项目(GJJ211922)
国家自然科学基金项目(62263024)。
关键词
可控性
多智能体系统
矩阵权重
符号网络
controllability
multi-agent systems
matrix-weight
signed networks
