论文标题
扩散耦合网络的强符号可控性
Strong Sign Controllability of Diffusively-Coupled Networks
论文作者
论文摘要
本文提出了几种条件，以确定扩散耦合的无向网络的强标志可控性。强符号可控性取决于边缘的符号模式（正，负，零）。我们首先提供了必要和足够的条件，以实现基本组件（例如路径，循环和树）的强符号可控性。接下来，我们提出了一个合并过程，将基本组合物扩展到较大的图表，以强符号可控性的条件。此外，我们开发了多项式复杂性的算法，以找到最小数量的外部输入节点，同时保持网络的强符号可控性。
This paper presents several conditions to determine strong sign controllability for diffusively-coupled undirected networks. The strong sign controllability is determined by the sign patterns (positive, negative, zero) of the edges. We first provide the necessary and sufficient conditions for strong sign controllability of basic components, such as path, cycle, and tree. Next, we propose a merging process to extend the basic componenets to a larger graph based on the conditions of the strong sign controllability. Furthermore, we develop an algorithm of polynomial complexity to find the minimum number of external input nodes while maintaining the strong sign controllability of a network.
