论文标题
通过矩阵加权签名网络，线性多代理系统的可控性和可观察性
Controllability and observability of linear multi-agent systems over matrix-weighted signed networks
论文作者
论文摘要
在本文中，分析了线性多代理系统对矩阵加权签名网络的可控性和可观察性。首先，给出了矩阵加权签名的多代理系统的公平分区的定义，可控制子空间的上限和必要的可控性条件是通过组合系数矩阵的限制条件和分别为固定和切换拓扑的情况的限制条件。其次，对于异质系统的情况，当同一单元中个体的动力学相同时，可控子空间的上限和必要的可控性条件将获得。第三，通过分别利用开关系统和公平分区的概念来获得可控制和不可控制的联合图的足够条件。最后，讨论了基于双重系统和系数矩阵的约束以及可观察性矩阵的约束以及可观察性和可观察性和可控性之间的关系的必要条件。
In this paper, the controllability and observability of linear multi-agent systems over matrix-weighted signed networks are analyzed. Firstly, the definition of equitable partition of matrix-weighted signed multi-agent system is given, and the upper bound of controllable subspace and a necessary condition of controllability are obtained by combining the restriction conditions of the coefficient matrix and matrix weight for the case of fixed and switching topologies, respectively.The influence of different selection methods of coefficient matrices on the results is discussed. Secondly, for the case of heterogeneous systems, the upper bound of controllable subspace and the necessary condition of controllability are obtained when the dynamics of individuals in the same cell are the same. Thirdly, sufficient conditions for controllable and uncontrollable union graphs are obtained by taking advantage of the concept of switched systems and equitable partitions, respectively. Finally, necessary condition of observability is obtained in terms of the dual system and the constraints of the coefficient matrix, and the relationship between the observability and the controllability of the matrix-weighted signed multi-agent systems is discussed.
