In this paper, we introduce an event-based boundary control for a $2\times 2$ coupled linear hyperbolic system. We use a well-established backstepping controller which stabilizes the system along with a dynamic triggering condition which determines when the controller must be updated. The main contributions rely on the definition of an event-based controller under which global exponential stability of the system is achieved and, furthermore, the existence of a minimal dwell-time between two triggering times is guaranteed. The well-posedness of the system under the event-based controller is stated. A simulation example is presented to illustrate the results.

中文翻译：

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线性的基于事件的边界控制 $2\times2$ 通过反步法的双曲线系统

在本文中，我们为 $2\times 2$ 耦合线性双曲线系统引入了基于事件的边界控制。我们使用完善的反推控制器来稳定系统以及确定何时必须更新控制器的动态触发条件。主要贡献依赖于基于事件的控制器的定义，在该控制器下实现系统的全局指数稳定性，此外，保证两个触发时间之间存在最小停留时间。阐述了系统在基于事件的控制器下的适定性。提供了一个仿真示例来说明结果。