Connecting nonlinear incremental Lyapunov stability with the linearizations Lyapunov stability

被引：0
|
作者：
Fromion, Vincent [1 ]
Scorletti, Gerard [1 ]
机构：
[1] INRA, MIG, F-78350 Jouy En Josas, France
来源：
2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8 | 2005年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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, Gateaux derivative and the mean value theorem in norm.
引用
收藏
页码：4736 / 4741
页数：6
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