Sampled-data and event-triggered control of globally Lipschitz infinite-dimensional systems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910899687653376 |
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| author | Katz, Rami Mironchenko, Andrii |
| author_facet | Katz, Rami Mironchenko, Andrii |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23884 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sampled-data and event-triggered control of globally Lipschitz infinite-dimensional systems Katz, Rami Mironchenko, Andrii Optimization and Control 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. |
| title | Sampled-data and event-triggered control of globally Lipschitz infinite-dimensional systems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2503.23884 |