Title
Methodological remarks on contraction theory
Abstract
Because contraction analysis stems from a differential and incremental framework, the nature and methodology of contraction-based proofs are significantly different from those of their Lyapunov-based counterparts. This paper specifically studies this issue, and illustrates it by revisiting some classical examples traditionally addressed using Lyapunov theory. Even in these cases, contraction tools can often yield significantly simplified analysis. The examples include adaptive control, robotics, and a proof of convergence of the deterministic extended Kalman filter.
Year
DOI
Venue
2004
10.1109/CDC.2004.1428824
Decision and Control, 2004. CDC. 43rd IEEE Conference
Keywords
DocType
Volume
kalman filters,robots,deterministic extended kalman filter,robotics,convergence,adaptive control,nonlinear control systems,contraction tools,contraction theory,filtering theory,proof of convergence,deterministic approach,contract theory,extended kalman filter,adaptive system,contraction,lyapunov function
Conference
3
ISSN
ISBN
Citations 
0191-2216
0-7803-8682-5
34
PageRank 
References 
Authors
2.51
8
2
Name
Order
Citations
PageRank
J. Jouffroy18610.24
Jean-jacques E. Slotine22878344.39