论文标题
通过无向图控制网络SIS模型
Controlling a Networked SIS Model via a Single Input over Undirected Graphs
论文作者
论文摘要
本文使用单个输入来制定和研究控制网络SIS模型的问题，其中网络结构由连接的无向图描述。当控制输入是单个代理的固化预算时，可以通过分析签名的拉普拉西亚人的分析来获得稳定的健康状态的固化和感染率值的必要条件。在健康状态可稳定的情况下，提供了最低固化预算的明确表达。使用模拟在美国东北部的城市网络上证明了该算法的效用。
This paper formulates and studies the problem of controlling a networked SIS model using a single input in which the network structure is described by a connected undirected graph. A necessary and sufficient condition on the values of curing and infection rates for the healthy state to be exponentially stable is obtained via the analysis of signed Laplacians when the control input is the curing budget of a single agent. In the case when the healthy state is stabilizable, an explicit expression for the minimum curing budget is provided. The utility of the algorithm is demonstrated using a simulation over a network of cities in the northeastern United States.
