SIAM Journal on Control and Optimization, Volume 59, Issue 3, Page 2047-2067, January 2021.
This paper deals with the problem of boundary stabilization of 1D reaction-diffusion PDEs with a time- and space-varying reaction coefficient. The boundary control design relies on the backstepping approach. The gains of the boundary control are scheduled under two suitable event-triggered mechanisms. More precisely, gains are computed/updated on events according to two state-dependent event-triggering conditions: static-based and dynamic-based conditions, under which the Zeno behavior is avoided and well-posedness and exponential stability of the closed-loop system are guaranteed. Numerical simulations are presented to illustrate the results.

中文翻译：

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反应扩散 PDE 的事件触发增益调度

SIAM Journal on Control and Optimization，第 59 卷，第 3 期，第 2047-2067 页，2021 年 1 月。
本文涉及具有时空变化反应系数的 1D 反应扩散 PDE 的边界稳定问题。边界控制设计依赖于 backstepping 方法。边界控制的增益在两种合适的事件触发机制下进行调度。更准确地说，根据两个与状态相关的事件触发条件计算/更新事件的增益：基于静态和基于动态的条件，在这些条件下避免了 Zeno 行为以及闭环系统的适定性和指数稳定性有保证。给出了数值模拟来说明结果。