An optimal control problem over infected networks

Ali Khanafer, M Tamer Basar

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

Abstract

We study an optimal control problem over a network whose nodes are infected by a virus. The infection levels in the network evolve according to a nonlinear dynamical system that belongs to the susceptible-infected-susceptible epidemiological models class. A network designer attempts to regulate the infection levels in the network via adapting the curing rates of the nodes. We show that the optimal controller of this problem exhibits multiple switches between the allowed actions. Further, we present a method for approximating the optimal controller while keeping the deviation from the optimal cost at a minimum. We support our findings by numerical studies.

Original languageEnglish (US)
Title of host publicationThe International Conference of Control, Dynamic Systems, and Robotics, CDSR 2014
PublisherAvestia Publishing
ISBN (Print)9781927877029
StatePublished - Jan 1 2014
EventThe International Conference of Control, Dynamic Systems, and Robotics, CDSR 2014 - Ottawa, Canada
Duration: May 15 2017May 16 2017

Publication series

NameInternational Conference of Control, Dynamic Systems, and Robotics
ISSN (Electronic)2368-5433

Other

OtherThe International Conference of Control, Dynamic Systems, and Robotics, CDSR 2014
CountryCanada
CityOttawa
Period5/15/175/16/17

Keywords

  • Epidemics
  • Game Theory
  • Networks
  • Optimal control

ASJC Scopus subject areas

  • Artificial Intelligence
  • Control and Optimization
  • Control and Systems Engineering

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