Small-gain theorem
id:
small-gain-theorem-296-17778464
title:
Small-gain theorem
text:
In nonlinear systems, the formalism of input-output stability is an important tool in studying the stability of interconnected systems since the gain of a system directly relates to how the norm of a signal increases or decreases as it passes through the system. The small-gain theorem gives a sufficient condition for finite-gain L stability of the feedback connection. The small gain theorem was proved by George Zames in 1966. It can be seen as a generalization of the Nyquist criterion to non-lin
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem used for studying closed-loop stability
original url:
https://en.wikipedia.org/wiki/Small-gain_theorem
date created:
date modified:
2023-03-13T14:45:39Z
main entity:
{"identifier":"Q4165677","url":"https://www.wikidata.org/entity/Q4165677"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/a/a7/Feedback_connection_between_two_systems..svg","width":179,"height":91}
fields total:
13
integrity:
15