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PreprintCC BY 4.0arXiv

Data-Driven Control in Infinite-Dimensional Spaces: Fundamental Lemma and Applications

  • Daniel López-Montero
Open at sourcePDFDOICite

Abstract

Data-driven control of dynamical systems has attracted significant research interest. This paper establishes a theoretical foundation for data-driven control in infinite-dimensional spaces by extending the notions of persistency of excitation, data informativity, and Willems' fundamental lemma. These extensions enable their direct application to systems governed by partial differential equations and delay differential equations.

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Cite

BibTeXRIS
BibTeX
@misc{lopezmontero2026datadriven,
  title = {{Data-Driven Control in Infinite-Dimensional Spaces: Fundamental Lemma and Applications}},
  author = {Daniel López-Montero},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25431},
  eprint = {2609.25431},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25431},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Data-Driven Control in Infinite-Dimensional Spaces: Fundamental Lemma and Applications
AU  - Daniel López-Montero
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.25431
UR  - https://arxiv.org/abs/2609.25431
AB  - Data-driven control of dynamical systems has attracted significant research interest. This paper establishes a theoretical foundation for data-driven control in infinite-dimensional spaces by extending the notions of persistency of excitation, data informativity, and Willems' fundamental lemma. These extensions enable their direct application to systems governed by partial differential equations and delay differential equations.
ER  -