Optimal impulse control of bi-virus SIR epidemics with application to heterogeneous Internet of Things

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6 Scopus citations

Abstract

With the emerging Internet of Things (IoT) technologies, malware spreading over increasingly connected networks becomes a new security concern. To capture the heterogeneous nature of the IoT networks, we propose a continuous-time Susceptible-Infected-Recovered (SIR) epidemic model with two types of malware for heterogeneous populations over a large network of devices. The malware control mechanism is to patch an optimal fraction of the infected nodes at discrete points in time, which leads to an impulse controller. We use the Pontryagin's minimum principle for impulsive systems to obtain an optimal structure of the controller and use numerical experiments to demonstrate the computation of the optimal control and the controlled dynamics.

Original languageEnglish
Title of host publication2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509062607
DOIs
StatePublished - 10 Jul 2017
Event2017 Constructive Nonsmooth Analysis and Related Topics: dedicated to the Memory of V.F. Demyanov - Saint-Petersburg, Russian Federation
Duration: 22 May 201727 May 2017
http://www.mathnet.ru/php/conference.phtml?confid=968&option_lang=rus
http://www.pdmi.ras.ru/EIMI/2017/CNSA/

Conference

Conference2017 Constructive Nonsmooth Analysis and Related Topics
Abbreviated titleCNSA 2017
CountryRussian Federation
CitySaint-Petersburg
Period22/05/1727/05/17
Internet address

Scopus subject areas

  • Modelling and Simulation
  • Analysis
  • Applied Mathematics
  • Control and Optimization

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