Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


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.

Original languageEnglish (US)
Title of host publicationLecture Notes in Control and Information Sciences
PublisherSpringer Verlag
Number of pages7
ISBN (Print)354013168X
StatePublished - 1984

Publication series

NameLecture Notes in Control and Information Sciences
ISSN (Print)0170-8643

All Science Journal Classification (ASJC) codes

  • Library and Information Sciences

Cite this