具有向量加权边的无向扩散网络的结构能控性
Structural Controllability of Undirected Diffusive Networks with Vector-Weighted Edges
摘要：
研究了具有{扩散耦合子系统}的无向网络系统的能控性，其中每个子系统具有{相同的{ \emph{fixed} }}一般高阶单输入多输出动态.网络拓扑的基础图是{ \emph{vector-weighted} }，而不是标量加权图。目的是找到网络化系统在结构上可控的条件，即，对于网络拓扑的交互链路的几乎所有矢量值，相应的系统是可控的。证明了网络化系统是结构可控的当且仅当每个子系统是可控的和可观测的，并且网络拓扑是全局输入可达的.这些条件被进一步推广到{多输入多输出子系统和矩阵加权边}或有向和无向相互作用链路同时存在的情况。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
