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PreprintarXiv licencearXiv

Controllability of time-varying lumped semilinear systems

  • Hernán R. Henríquez
  • Matthieu F. Pinaud
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Abstract

In this work we are concerned with the controllability of time-varying lumped control systems governed by a semilinear differential equation. We consider the semilinear system as a perturbation of a linear system. Assuming the underlying linear system is controllable, and the nonlinear forcing function satisfies a boundedness condition which is adapted to the underlying linear system, we show that the semilinear system is also approximately controllable

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Cite

BibTeXRIS
BibTeX
@misc{henriquez2026controllability,
  title = {{Controllability of time-varying lumped semilinear systems}},
  author = {Hernán R. Henríquez and Matthieu F. Pinaud},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.31131},
  eprint = {2608.31131},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.31131},
}
RIS
TY  - UNPB
TI  - Controllability of time-varying lumped semilinear systems
AU  - Hernán R. Henríquez
AU  - Matthieu F. Pinaud
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2608.31131
UR  - https://arxiv.org/abs/2608.31131
AB  - In this work we are concerned with the controllability of time-varying lumped control systems governed by a semilinear differential equation. We consider the semilinear system as a perturbation of a linear system. Assuming the underlying linear system is controllable, and the nonlinear forcing function satisfies a boundedness condition which is adapted to the underlying linear system, we show that the semilinear system is also approximately controllable
ER  -