Sampled-data and event-triggered control of globally Lipschitz infinite-dimensional systems
Optimization and Control
2025-04-01 v1
Abstract
We show that if a linear infinite-dimensional system is exponentially stabilizable by compact feedback, it is also stabilizable by means of a sampled-data feedback that is fed through a globally Lipschitz nonlinearity, provided that the sector bound for the nonlinearity and the sampling time is small enough. Next we develop a switching-based event-triggered control scheme stabilizing the system with a reduced number of switching events. We demonstrate our results on an example of finite-dimensional stabilization of a Sturm-Liouville parabolic system.
Cite
@article{arxiv.2503.23884,
title = {Sampled-data and event-triggered control of globally Lipschitz infinite-dimensional systems},
author = {Rami Katz and Andrii Mironchenko},
journal= {arXiv preprint arXiv:2503.23884},
year = {2025}
}