On the optimal control of virus spread in networks

Ali Khanafer, Tamer Basar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study the design of optimal controllers for virus spread dynamics over undirected networks. The network designer is capable of controlling the curing rates of the nodes, and his objective is to reduce infection across the network at minimum cost. We employ Pontryagin's maximum principle to study the switching behavior of optimal controllers. Further, we propose two static control laws and identify graph classes over which the static control laws exhibit performance similar to that of the optimal dynamic controller. Finally, we propose a linear transformation for the virus spread dynamics and demonstrate that the optimal controllers for these dynamics exhibit at most a single switch.

Original languageEnglish (US)
Title of host publication2014 7th International Conference on Network Games, Control and Optimization, NetGCoop 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages166-172
Number of pages7
ISBN (Electronic)9788884435743
StatePublished - Jun 7 2017
Event7th International Conference on Network Games, Control and Optimization, NetGCoop 2014 - Trento, Italy
Duration: Oct 29 2014Oct 31 2014

Publication series

Name2014 7th International Conference on Network Games, Control and Optimization, NetGCoop 2014

Other

Other7th International Conference on Network Games, Control and Optimization, NetGCoop 2014
CountryItaly
CityTrento
Period10/29/1410/31/14

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Computer Science Applications
  • Control and Optimization

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