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Connections between Georgiou and Smith's robust stability type theorems and the nonlinear small-gain theorems

Li, Jing and French, Mark (2014) Connections between Georgiou and Smith's robust stability type theorems and the nonlinear small-gain theorems SIAM Journal on Control and Optimization, pp. 1-16.

Record type: Article

Abstract

Georgiou and Smith's robust stability theorem using the concept of nonlinear gap metric is shown to be equivalent to the traditional nonlinear small-gain theorem for feedback systems with parts of zero input disturbances. We present both global and local forms of the nonlinear small-gain theorem establishing existence and boundedness properties simultaneously in this paper; and the results are used to show the corresponding types of Georgiou and Smith's robust stability theorem.

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Submitted date: 2014
Keywords: nonlinear small-gain theorem, robust stability theorem, nonlinear gap metric, schauder's fixed point theorem
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 363497
URI: http://eprints.soton.ac.uk/id/eprint/363497
PURE UUID: 67c9565a-a709-4081-b2e4-e6711f5127b0

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Date deposited: 25 Mar 2014 14:46
Last modified: 18 Jul 2017 02:39

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Contributors

Author: Jing Li
Author: Mark French

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