DocumentCode
1743715
Title
A characterization of the Lie algebra rank condition by transverse periodic functions
Author
Morin, Pascal ; Samson, Claude
Author_Institution
Inst. Nat. de Recherche en Inf. et Autom., Sophia-Antipolis, France
Volume
4
fYear
2000
fDate
2000
Firstpage
3988
Abstract
The Lie algebra rank condition plays a central role in nonlinear systems control theory. We show that the satisfaction of this condition by a set of smooth control vector fields is equivalent to the existence of smooth transverse periodic functions. The proof outlined-details can be found in Morin and Samson (2000)-is constructive and provides a method for the determination of such functions. This is illustrated by an example
Keywords
Lie algebras; functions; nonlinear control systems; set theory; Lie algebra rank condition; smooth control vector fields; transverse periodic functions; Algebra; Control systems; Control theory; Feedback control; Instruments; Motion control; Nonlinear control systems; Nonlinear systems; Open loop systems; Time varying systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location
Sydney, NSW
ISSN
0191-2216
Print_ISBN
0-7803-6638-7
Type
conf
DOI
10.1109/CDC.2000.912338
Filename
912338
Link To Document