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.

在本文中，我们研究了设计事件触发控制器以包含复杂网络中的流行病过程的问题。我们专注于确定性的易感-感染-易感 (SIS) 模型，这是捕捉流行病传播的众所周知的基本模型之一。事件触发控制是在病毒传播的背景下特别制定的，其中每个亚群的控制输入（例如，医疗量，交通法规水平）仅在以下情况下更新亚群中感染者的比例超过规定的阈值。我们分析了所提出的事件触发控制器的稳定性，并推导出实现规定控制目标的充分条件。此外，我们提出了一种新的基于仿真的方法来设计事件触发控制器，并表明可以使用几何规划在多项式时间内解决设计事件触发控制器的问题。我们通过使用航空运输网络的数值模拟来说明所提出方法的有效性。