DocumentCode
700888
Title
On nonlinear controllability, infinite jets and prolongations
Author
Fliess, Michel ; Levine, Jean ; Martin, Philippe ; Ollivier, Francois ; Rouchon, Pierre
Author_Institution
Lab. des Signaux et Syst., Supelec, Gif-sur-Yvette, France
fYear
1997
fDate
1-7 July 1997
Firstpage
2716
Lastpage
2721
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
Lie algebras; controllability; differential geometry; nonlinear control systems; Lie algebraic criterion; Lie rank condition; differential geometry; infinite jets; infinite prolongations; nonlinear accessibility; nonlinear controllability; nonlinear systems; system variables; Algebra; Controllability; Geometry; Heuristic algorithms; Manifolds; Nonlinear systems; accessibility; diffieties; first integrals; infinite jets; nonlinear systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 1997 European
Conference_Location
Brussels
Print_ISBN
978-3-9524269-0-6
Type
conf
Filename
7082519
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