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PreprintCC BY-NC-ND 4.0HAL

Extending geometric integrators to control systems - an example study

  • Oscar Cosserat
  • Damiano Rigo
  • Vladimir Salnikov
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Abstract

In this paper, we study control systems in the context of geometric integrators. On a simple low dimensional example admitting an unstable trajectory, we observe that geometric numerical methods — adapted for a free system — also perform better than the classical ones after adding a control.

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Cite

BibTeXRIS
BibTeX
@misc{cosserat2026extending,
  title = {{Extending geometric integrators to control systems - an example study}},
  author = {Oscar Cosserat and Damiano Rigo and Vladimir Salnikov},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  url = {https://hal.science/hal-05740249v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Extending geometric integrators to control systems - an example study
AU  - Oscar Cosserat
AU  - Damiano Rigo
AU  - Vladimir Salnikov
PY  - 2026
DA  - 2026/10/13
PB  - HAL
UR  - https://hal.science/hal-05740249v1
AB  - In this paper, we study control systems in the context of geometric integrators. On a simple low dimensional example admitting an unstable trajectory, we observe that geometric numerical methods — adapted for a free system — also perform better than the classical ones after adding a control.
ER  -