DocumentCode
1904196
Title
Extensions of differential flat fields and Liouvillian systems
Author
Chelouah, A.
Author_Institution
Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France
Volume
5
fYear
1997
fDate
10-12 Dec 1997
Firstpage
4268
Abstract
In this paper, we introduce Liouvillian systems as a natural extension of differentially flat systems. As for flat systems, Liouvillian systems emphasize the central role played by the notion of trajectory. The study of Liouvillian systems is placed within the framework of differential algebra and of differential Galois theory. A necessary and sufficient condition for a nonflat system to be Liouvillian is given
Keywords
Galois fields; Liouville equation; nonlinear systems; system theory; Liouvillian systems; differential Galois theory; differential algebra; differential flat fields; differentially flat systems; necessary and sufficient condition; nonflat system; trajectory; Algebra; Control systems; Differential equations; Feedback; Input variables; Linear systems; Nonlinear systems; Open loop systems; Sufficient conditions; Transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location
San Diego, CA
ISSN
0191-2216
Print_ISBN
0-7803-4187-2
Type
conf
DOI
10.1109/CDC.1997.649507
Filename
649507
Link To Document