Event-triggered control for mitigating SIS spreading processes. (2021)

• Record Type: Journal Article
• Authors: Hashimoto, Kazumune; Onoue, Yuga; Ogura, Masaki; Ushio, Toshimitsu
• Is Part Of: Annual reviews in control. Volume 52(2021)
• Page Start: 479
• Page End: 494
• Publication Date: 2021
• Subjects: Epidemic processes -- Event-triggered control -- Complex networks -- Geometric programming; Automatic control -- Periodicals; Periodicals; 629.805
• DOI: 10.1016/j.arcontrol.2021.08.001
• Languages: English
• ISSNs: 1367-5788

Abstract

Abstract: In this paper, we investigate the problem of designing event-triggered controllers for containing epidemic processes in complex networks. We focus on a deterministic susceptible–infected–susceptible (SIS) model, which is one of the well-known, fundamental models that capture the epidemic spreading. The event-triggered control is particularly formulated in the context of viral spreading, in which control inputs (e.g., the amount of medical treatments, a level of traffic regulations) for each subpopulation are updated only when the fraction of the infected people in the subpopulation exceeds a prescribed threshold. We analyze the stability of the proposed event-triggered controller and derive a sufficient condition for a prescribed control objective to be achieved. Moreover, we propose a novel emulation-based approach towards the design of the event-triggered controller, and show that the problem of designing the event-triggered controller can be solved in polynomial time using a geometric programming. We illustrate the effectiveness of the proposed approach through numerical simulations using an air transportation network.