Title :
Connecting nonlinear incremental Lyapunov stability with the linearizations Lyapunov stability
Author :
Fromion, Vincent ; Scorletti, Geérard
Author_Institution :
MIG-INRA, Domaine de Vilvert, 78350 Jouy-en-Josas, France, e-mail: vincent.fromion@jouy.inra.fr.
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.
Keywords :
Asymptotic stability; Books; Error analysis; Joining processes; Lyapunov method; Machinery; Nonlinear systems; Robustness; Stability analysis;
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.2005.1582910
