A notion of passivity gain and a generalization of the "secant condition" for stability
Optimization and Control
2007-05-23 v1
Abstract
A generalization of the classical secant condition for the stability of cascades of scalar linear systems is provided for passive systems. The key is the introduction of a quantity that combines gain and phase information for each system in the cascade. For linear one-dimensional systems, the known result is recovered exactly.
Cite
@article{arxiv.math/0503117,
title = {A notion of passivity gain and a generalization of the "secant condition" for stability},
author = {Eduardo D. Sontag},
journal= {arXiv preprint arXiv:math/0503117},
year = {2007}
}
Comments
See http://www.math.rutgers.edu/~sontag/ for related work