Dear Colleagues,
By clicking on the link(s) above
you can download a preliminary version of a survey on the basic aspects of the
infinite dimensional differential geometric approach of Fliess et al [1,2] and
Pomet [3]. Firstly, it was conceived for helping my students that were
interested in this approach, trying to fill the lack of a book on this
interesting subject. The paper addresses only the basic definitions, and it
does not consider any synthesis problem. I will be very glad if you send me
suggestions and comments. I apologize the fact that these
papers has many typos and errors, and it will be very helpful if you
warn me about any errors you found.
[1] Fliess, M., Levine, J., Martin, P. & Rouchon, P. (1993).
Linearisation par
bouclage dynamique et transformations de Lie-Backlund,
C. R. Acad. Sci.
Paris Ser. I Math. 317: pp. 981-986.
[2] Fliess, M., Levine, J., Martin, P. & Rouchon,
P. (1999). A Lie-Backlund ap-
proach to equivalence and Fatness of nonlinear
systems, IEEE Trans. Au-
tomat. Control 44(5): pp. 922-937.
[3] Pomet, J.-B. (1995). A differential geometric
setting for dynamic equivalence
and dynamic linearization, in B. Jackubczyk, W. Respondek & T.
Rzezu-
chowski (eds), Geometry in Nonlinear Control and Differential Inclusions,
Banach Center Publications, Warsaw, pp. 319-339.
[