DocumentCode
404284
Title
Some remarks on density functions for dual Lyapunov methods
Author
Angeli, David
Author_Institution
Dipt. di Sistemi e Inf., Firenze Univ., Italy
Volume
5
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
5080
Abstract
New results on the structure of density functions for almost global stability analysis of nonlinear systems are discussed. In particular, it is shown how the smoothness constraint poses, under certain technical assumptions, a serious challenge in the construction of density functions which are almost everywhere expanding along the flow.
Keywords
Lyapunov methods; asymptotic stability; nonlinear control systems; density functions; dual Lyapunov methods; global stability analysis; nonlinear systems; Density functional theory; Equations; Linear systems; Nonlinear systems; Prototypes; Shape; Stability analysis; State-space methods; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1272440
Filename
1272440
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