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
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;
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.2005.1583062
