Asymptotic cauchy gains: Definitions and small-gain principle
Optimization and Control
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0112021,
title = {Asymptotic cauchy gains: Definitions and small-gain principle},
author = {Eduardo D. Sontag},
journal= {arXiv preprint arXiv:math/0112021},
year = {2007}
}
Comments
Preliminary Report. See http://www.math.rutgers.edu/~sontag for related materials