Controlling a networked SIS model via a single input over undirected graphs

Dan Wang, Ji Liu, Philip E. Paré, Wei Chen, Li Qiu, Carolyn L. Beck, Tamer Basar

Research output: Contribution to journalConference articlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)10981-10986
Number of pages6
JournalIFAC-PapersOnLine
Volume53
Issue number2
DOIs
StatePublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: Jul 12 2020Jul 17 2020

ASJC Scopus subject areas

  • Control and Systems Engineering

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