论文标题
关于具有特殊拓扑结构的线性时间不变系统的胚胎性
On the Herdability of Linear Time-Invariant Systems with Special Topological Structures
论文作者
论文摘要
在本文中，我们研究了畜能性能，即用于线性时间不变的状态空间模型的系统朝向（内部）朝向（内部）的能力。探索了某些矩阵对（A，B）的屈射性，其中A是多代理网络的邻接矩阵，而B是一个选择矩阵的选择矩阵，探索了代理的子集（“网络负责人”）。指向与A，G（a）相关的图的案例，并将其聚类平衡（尤其是结构平衡），或者它具有树拓扑并有一个单个领导者。
In this paper, we investigate the herdability property, namely the capability of a system to be driven towards the (interior of the) positive orthant, for linear time-invariant state-space models. Herdability of certain matrix pairs (A,B), where A is the adjacency matrix of a multi-agent network, and B is a selection matrix that singles out a subset of the agents (the "network leaders"), is explored. The cases when the graph associated with A, G(A), is directed and clustering balanced (in particular, structurally balanced), or it has a tree topology and there is a single leader, are investigated.
