文章基本信息

标题：Controlling a Networked SIS Model via a Single Input over Undirected Graphs ⁎
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作者：Dan Wang ; Ji Liu ; Philip E. Paré 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：10981-10986
DOI：10.1016/j.ifacol.2020.12.001
语种：English
出版社：Elsevier
摘要：AbstractThis 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.