Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Optimal impulse control of bi-virus SIR epidemics with application to heterogeneous Internet of Things. / Taynitskiy, Vladislav; Gubar, Elena; Zhu, Quanyan.
2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. 7974023.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Optimal impulse control of bi-virus SIR epidemics with application to heterogeneous Internet of Things
AU - Taynitskiy, Vladislav
AU - Gubar, Elena
AU - Zhu, Quanyan
PY - 2017/7/10
Y1 - 2017/7/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85027449343&partnerID=8YFLogxK
U2 - 10.1109/CNSA.2017.7974023
DO - 10.1109/CNSA.2017.7974023
M3 - Conference contribution
AN - SCOPUS:85027449343
BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 Constructive Nonsmooth Analysis and Related Topics
Y2 - 22 May 2017 through 27 May 2017
ER -
ID: 9170333