@inproceedings{52a49b314bd44fdf950726363d7a2b69,
title = "LIE-VOLTERRA EXPANSION FOR NONLINEAR SYSTEMS.",
abstract = "Problem is to find a reasonable expansion for the trajectories of a 'perturbed' controller about the unperturbed controller. One obvious possibility would be to use a series expansion. This leads to the familiar Volterra series, which has been widely studied and applied. However, the Volterra series has one serious drawback: it is not invariant under arbitrary nonlinear coordinate changes. For this reason, author proposes here a different type of expansion, which is called the Lie-Volterra expansion (LVE). The definition of the LVE is manifestly invariant under coordinate changes.",
author = "Sussmann, {H. J.}",
year = "1984",
language = "English (US)",
isbn = "354013168X",
series = "Lecture Notes in Control and Information Sciences",
publisher = "Springer Verlag",
pages = "822--828",
booktitle = "Lecture Notes in Control and Information Sciences",
address = "Germany",
}