A REMARK ON NONLINEAR ACCESSIBILITY CONDITIONS AND INFINITE PROLONGATIONS

Authors
FLIESS M LEVINE J MARTIN P OLLIVIER F ROUCHON P
Citation
M. Fliess et al., A REMARK ON NONLINEAR ACCESSIBILITY CONDITIONS AND INFINITE PROLONGATIONS, Systems & control letters, 31(2), 1997, pp. 77-83
Citations number
69
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
Systems & control letters → ACNP
ISSN journal
01676911
Volume
31
Issue
2
Year of publication
1997
Pages
77 - 83
Database
ISI
SICI code
0167-6911(1997)31:2<77:ARONAC>2.0.ZU;2-H
Abstract
The Lie rank condition for strong nonlinear accessibility is interpret ed via the differential geometry of jets and prolongations of infinite order. It yields to a new Lie algebraic criterion and to the consider ation of first integrals, which apply to nonlinear systems in quite ge neral form; the latter characterization in particular is valid without distinguishing between the system variables and is independent of tim e-scalings. Weak accessibility is also considered. (C) 1997 Elsevier S cience B.V.