English

Diffieties and Liouvillian Systems

Systems and Control 2010-10-20 v1

Abstract

Liouvillian systems were initially introduced within the framework of differential algebra. They can be seen as a natural extension of differential flat systems. Many physical non flat systems seem to be Liouvillian. We present in this paper an alternative definition to this class of systems using the language of diffieties and infinite prolongation theory.

Cite

@article{arxiv.1010.3909,
  title  = {Diffieties and Liouvillian Systems},
  author = {Abdelkader Chelouah},
  journal= {arXiv preprint arXiv:1010.3909},
  year   = {2010}
}

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R2 v1 2026-06-21T16:30:48.183Z