A Small-Gain Theorem with Applications to Input/Output Systems, Incremental Stability, Detectability, and Interconnections
Optimization and Control
2007-05-23 v1
Abstract
A general ISS-type small-gain result is presented. It specializes to a small-gain theorem for ISS operators, and it also recovers the classical statement for ISS systems in state-space form. In addition, we highlight applications to incrementally stable systems, detectable systems, and to interconnections of stable systems.
Keywords
Cite
@article{arxiv.math/0110317,
title = {A Small-Gain Theorem with Applications to Input/Output Systems, Incremental Stability, Detectability, and Interconnections},
author = {Brian Ingalls and Eduardo D. Sontag},
journal= {arXiv preprint arXiv:math/0110317},
year = {2007}
}
Comments
16 pages, no figures