一种无向网络的结构可控性定量分析方法

Quantitative Analysis Method for Structural Controllability of Undirected Network

为更加科学合理的对网络结构可控性进行定量分析,以较为普遍的无向网络作为研究对象,提出一种新的结构可控性定量分析方法。以PBH秩判据为基础,根据网络的邻接矩阵求解出最小控制输入节点的个数及对应的所有组数;结合网络节点总数、最小控制输入节点个数、最小控制输入节点组数3个参数,将结构可控的实现概率作为量化指标,实现结构可控性的定量分析。该方法可以更加合理有效地对结构可控性进行定量分析,为当前结构可控性的研究提供新的方法支撑。

In order to make the quantitative analysis of structural controllability more reasonable, a new quantitative analysis method for structural controllability is proposed.Undirected network is determined as the research object, because it is more general.Based on PBH rank criterion, the number and the group number of minimum control input nodes are both solved according to the network adjacent matrix.Considering the number of the network nodes, the number and the group number of minimum control input nodes, the probability of structural controlled is regarded as the quantitative index, and the quantitative analysis of structural controllability is realized.Through the method, a more reasonable quantitative analysis of structural controllability could be implemented and a new theoretical support could be provided in the research of structural controllability.