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This paper presents an event-triggered boundary control strategy for a classof reaction-diffusion PDEs with time-varying reactivity under Robin actuation.The control approach consists of a backstepping full-state feedback boundarycontroller and a dynamic event-triggering condition, which determines the timeinstants when the control input needs to be updated. It is proved that underthe proposed event-triggered boundary control approach, there is a uniformminimal dwell-time between two event times. Furthermore, the well-posedness andthe global exponential convergence of the closed-loop system to zero in$L^2$-sense are established. A simulation is conducted to validate thetheoretical developments.

Event-triggered Boundary Control of a Class of Reaction-Diffusion PDEs with Time-dependent Reactivity