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
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;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
