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

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференции

3 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаанглийский
Название основной публикации2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
ИздательInstitute of Electrical and Electronics Engineers Inc.
ISBN (электронное издание)9781509062607
DOI
СостояниеОпубликовано - 10 июл 2017
Событие2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017: dedicated to the Memory of V.F. Demyanov - Saint-Petersburg, Российская Федерация
Продолжительность: 21 мая 201726 мая 2017
http://www.pdmi.ras.ru/EIMI/2017/CNSA/

Конференция

Конференция2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017
Сокращенный заголовокCNSA 2017
СтранаРоссийская Федерация
ГородSaint-Petersburg
Период21/05/1726/05/17
Адрес в сети Интернет

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Предметные области Scopus

  • Моделирование и симуляция
  • Анализ
  • Прикладная математика
  • Теория оптимизации

Цитировать

Taynitskiy, V., Gubar, E., & Zhu, Q. (2017). Optimal impulse control of bi-virus SIR epidemics with application to heterogeneous Internet of Things. В 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings [7974023] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CNSA.2017.7974023