A Small-Gain Theorem with Applications to Input/Output Systems, Incremental Stability, Detectability, and Interconnections

Preprint

30 October 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0110317

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

INCREMENTALLY STABLE
INPUT/OUTPUT SYSTEMS
SMALL GAIN THEOREM
INTERCONNECTIONS
STABLE
ISS

All Related Versions

Version 1, 2001-10-30, ArXiv

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