@inbook{ec82c439a4e14d52859dc646dd3563f2,
title = "Optimal impulse control of SIR epidemics over scale-free networks",
abstract = "Recent wide spreading of Ransomware has created new challenges for cybersecurity over large-scale networks. The densely connected networks can exacerbate the spreading and makes the containment and control of the malware more challenging. In this work, we propose an impulse optimal control framework for epidemics over networks. The hybrid nature of discrete-time control policy of continuous-time epidemic dynamics together with the network structure poses a challenging optimal control problem. We leverage the Pontryagin{\textquoteright}s minimum principle for impulsive systems to obtain an optimal structure of the controller and use numerical experiments to corroborate our results.",
keywords = "Impulse Controller, Impulsive Systems, Malware, Ransomware, Scale-free Networks",
author = "Vladislav Taynitskiy and Elena Gubar and Quanyan Zhu",
note = "Funding Information: Acknowledgements The work of the second author was supported by the research grant “Optimal Behavior in Conflict-Controlled Systems” (17-11-01079) from Russian Science Foundation. Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2019",
doi = "10.1007/978-3-319-93058-9_8",
language = "English (US)",
series = "EAI/Springer Innovations in Communication and Computing",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "119--129",
booktitle = "EAI/Springer Innovations in Communication and Computing",
address = "Germany",
}