@inproceedings{7f5320aff09b406385469fa341842d35,
title = "An optimal control problem over infected networks",
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.",
keywords = "Epidemics, Game Theory, Networks, Optimal control",
author = "Ali Khanafer and Tamer Bas¸ar",
note = "Publisher Copyright: {\textcopyright} 2014, Avestia Publishing.; The International Conference of Control, Dynamic Systems, and Robotics, CDSR 2014 ; Conference date: 15-05-2017 Through 16-05-2017",
year = "2014",
language = "English (US)",
isbn = "9781927877029",
series = "International Conference of Control, Dynamic Systems, and Robotics",
publisher = "Avestia Publishing",
booktitle = "The International Conference of Control, Dynamic Systems, and Robotics, CDSR 2014",
}