Optimal Impulsive Control of Epidemic Spreading of Heterogeneous Malware

被引:12
|
作者
Taynitskiy, Vladislav [1 ]
Gubar, Elena [1 ]
Zhu, Quanyan [2 ]
机构
[1] St Petersburg State Univ, Fac Appl Math & Control Proc, Univ Prospekt 35, St Petersburg 198504, Russia
[2] NYU, Tandon Sch Engn, Dept Elect & Comp Engn, Brooklyn, NY 11201 USA
来源
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
基金
俄罗斯科学基金会; 美国国家科学基金会;
关键词
Impulse control; control system analysis; optimal control; SIR; epidemic process; MAXIMUM PRINCIPLE;
D O I
10.1016/j.ifacol.2017.08.2515
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
As the number of devices connected to the Internet is growing, the epidemics of malware spreading imposes a serious cyber security problem. It is common that there exist multiple types of malware infecting a network of devices. Periodically scheduled patching is a common way to protect the devices and thwart the malware spreading over a large population of devices. In this paper, we study the heterogeneous SIR model where two types of malware spread over the network and formulate an impulse optimal control problem to describe the optimal strategy of periodic patching that happens at discrete points of time. We obtain the structure of optimal impulse controls and consider the hybrid case in which we combine the discrete impulses and the continuous components of the control. Numerical simulations are used to corroborate the theoretical results. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:15038 / 15043
页数:6
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