Event-triggered Control of Infinite-dimensional Systems

@article{Wakaiki2018EventtriggeredCO,
  title={Event-triggered Control of Infinite-dimensional Systems},
  author={Masashi Wakaiki and Hideki Sano},
  journal={ArXiv},
  year={2018},
  volume={abs/1801.05521}
}
We consider the event-triggered control of continuous-time linear infinite-dimensional systems. We show that an event trigger that measures the difference of a control input leads to the positive minimum inter-event time if a feedback operator is compact. Moreover, under certain natural assumptions on the infinite-dimensional system, we show that there exists an event trigger such that the closed-loop system is exponentially stable. 
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