DocumentCode
3121663
Title
Some ancestors of contraction analysis
Author
Jouffroy, Jérôme
Author_Institution
Center for Ships and Ocean Structures (CeSOS), Norwegian University of Science and Technology (NTNU), NO-7491 Trondheim, Norway. e-mail: jouffroy@ntnu.no
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
5450
Lastpage
5455
Abstract
Contraction analysis is a recent tool for analyzing the convergence behavior of nonlinear systems in state-space form (see Lohmiller and Slotine [16] for the main reference). However, it seems that earlier results derived by mathematicians in the 1950s closely match some of the results of contraction analysis. In this paper, we review and place into perspective some references of this era, and relate them with contraction.
Keywords
Control systems; Convergence; Differential equations; Geometry; Jacobian matrices; Marine technology; Marine vehicles; Nonlinear systems; Oceans; Stability criteria;
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.2005.1583029
Filename
1583029
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