Asymptotic cauchy gains: Definitions and small-gain principle
arXiv:math/0112021
Abstract
A notion of "asymptotic Cauchy gain" for input/output systems, and an associated small-gain principle, are introduced. A Lyapunov-like characterization allows the computation of these gains for state-space systems, and the formulation of sufficient conditions insuring the lack of oscillations and chaotic behaviors in a wide variety of cascades and feedback loops.
Preliminary Report. See http://www.math.rutgers.edu/~sontag for related materials