Title :
Extensions of differential flat fields and Liouvillian systems
Author_Institution :
Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France
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;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.649507
