DocumentCode
3119624
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.
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
4736
Lastpage
4741
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;
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.2005.1582910
Filename
1582910
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