DocumentCode
3122265
Title
A notion of passivity gain and a generalization of the "secant condition" for stability
Author
Sontag, Eduardo D.
Author_Institution
Dept. of Mathematics, Rutgers University, Piscataway NJ
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
5645
Lastpage
5649
Abstract
The secant condition plays a useful role in stability studies, especially for biological models. This paper provides a generalization of that condition to nonlinear passive systems. A "secant gain" is introduced, which combines gain and phase information for each of the cascaded subsystems.
Keywords
Biological system modeling; Eigenvalues and eigenfunctions; Feedback loop; Hilbert space; Kinetic theory; Lyapunov method; Mathematical model; Mathematics; Nonlinear systems; Stability;
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.2005.1583062
Filename
1583062
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