Title
Connecting nonlinear incremental Lyapunov stability with the linearizations Lyapunov stability
Abstract
In this paper, we reveal new connections between the incremental Lyapunov properties of a nonlinear system and the Lyapunov properties of its linearizations. We focus on (incremental) asymptotic and exponential stability. In contrast with other works on the incremental Lyapunov properties of nonlinear systems, our approach is based on extended spaces, Gâteaux derivative and the mean value theorem in norm.
Year
DOI
Venue
2005
10.1109/CDC.2005.1582910
conference on decision and control
Keywords
DocType
ISSN
nonlinear system,nonlinear systems,robustness,stability analysis,asymptotic stability,exponential stability,mean value theorem,machinery
Conference
0743-1546
ISBN
Citations 
PageRank 
0-7803-9567-0
5
0.57
References 
Authors
5
2
Name
Order
Citations
PageRank
Fromion, Vincent163.20
Scorletti, G.2121.81