无向图上网络化SIS模型的单输入控制
Controlling a Networked SIS Model via a Single Input over Undirected Graphs
摘要：
研究了网络化SIS模型的单输入控制问题，其中网络结构用连通无向图表示。当控制输入为单个智能体的治愈预算时，通过符号拉普拉斯算子的分析，得到了健康状态指数稳定的治愈率和感染率的充要条件.在健康状态可稳定的情况下，给出了最小固化预算的显式表达式。该算法的效用证明了在美国东北部的城市网络使用模拟。
英文摘要：
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.
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。
