@inproceedings{a332d84c8f73464cb5e89cb54828f456,
title = "On nonlinear controllability, infinite jets and prolongations",
abstract = "The Lie rank condition for strong nonlinear accessibility is interpreted via the differential geometry of jets and prolongations of infinite order. It yields to a new Lie algebraic criterion and to the consideration of first integrals, which apply to nonlinear systems in quite general form; the latter characterization in particular is valid without distinguishing between the system variables and is independent of time-scalings. Weak accessibility is also considered.",
keywords = "Accessibility, Diffieties, First integrals, Infinite jets, Nonlinear systems",
author = "Michel Fliess and Jean L{\'e}vine and Philippe Martin and Fran{\c c}ois Ollivier and Pierre Rouchon",
year = "1997",
month = apr,
day = "8",
doi = "10.23919/ecc.1997.7082519",
language = "English",
series = "ECC 1997 - European Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2716--2721",
booktitle = "ECC 1997 - European Control Conference",
note = "4th European Control Conference, ECC 1997 ; Conference date: 01-07-1997 Through 04-07-1997",
}