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
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;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583029
