论文标题
无向扩散网络具有矢量加权边缘的结构可控性
Structural Controllability of Undirected Diffusive Networks with Vector-Weighted Edges
论文作者
论文摘要
在本文中，考虑了具有{扩散耦合子系统}的无向网络系统的可控性，其中每个子系统均为{\ emph {field}}}常规高阶单输入 - 默感 - 摩尔蒂 - 算法动力学。网络拓扑的基础图是{\ emph {向量加权}}，而不是标量加权。目的是找到网络系统在结构上可控的条件，即，对于网络拓扑的交互链接的几乎所有向量值，相应的系统都是可控的。事实证明，当且仅当每个子系统都是可控制且可观察的，并且网络拓扑在全球输入中可以控制时，网络系统在结构上是可控制的。这些条件进一步扩展到{具有多输入 - 群 - 输出子系统和矩阵加权边缘的情况下，或者存在定向和无方向的交互链接。
In this paper, controllability of undirected networked systems with {diffusively coupled subsystems} is considered, where each subsystem is of {identically {\emph{fixed}}} general high-order single-input-multi-output dynamics. The underlying graph of the network topology is {\emph{vector-weighted}}, rather than scalar-weighted. The aim is to find conditions under which the networked system is structurally controllable, i.e., for almost all vector values for interaction links of the network topology, the corresponding system is controllable. It is proven that, the networked system is structurally controllable, if and only if each subsystem is controllable and observable, and the network topology is globally input-reachable. These conditions are further extended to the cases {with multi-input-multi-output subsystems and matrix-weighted edges,} or where both directed and undirected interaction links exist.
