DocumentCode
3129653
Title
Area contraction of k-dimensional surfaces and almost global asymptotic stability
Author
Aeyels, Dirk ; Smet, Filip De ; Langerock, Bavo
Author_Institution
SYSTeMS research group, Department of Electrical Energy, Systems and Automation, Ghent University (UGent), Technologiepark-Zwijnaarde 914, 9052 Zwijnaarde, Belgium. E-mail: Dirk.Aeyels@UGent.be
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
7988
Lastpage
7993
Abstract
In this paper we will formulate sufficient conditions for the area contraction of k-dimensional surfaces under the flow of a set of differential equations. We discuss the connection with the Hausdorff dimension of invariant sets and show how the presence of first integrals of the system influences these results. We conclude with an application to almost global asymptotic stability.
Keywords
Hausdorff dimension; first integrals; k-contracting vector fields; Astronomy; Asymptotic stability; Automation; Density functional theory; Differential equations; Level set; Physics; Space technology; State-space methods; Sufficient conditions; Hausdorff dimension; first integrals; k-contracting vector fields;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1583454
Filename
1583454
Link To Document