Graph Topologies, Gap Metrics and Robust Stability for Nonlinear Systems


Bian, Wenming and French, Mark (2005) Graph Topologies, Gap Metrics and Robust Stability for Nonlinear Systems. SIAM Journal of Control and Optimization, 44, (2), 418-443.

Download

[img] PDF
Download (284Kb)

Description/Abstract

Graph topologies for nonlinear operators which admit coprime factorisations are defined w.r.t. a gain function notion of stability in a general normed signal space setting. Several metrics are also defined and their relationship to the graph topologies are examined. In particular relationships between nonlinear generalisations of the gap and graph metrics, Georgiou-type formulae and the graph topologies are established. Closed loop robustness results are given w.r.t. the graph topology, where the role of a coercivity condition on the nominal plant is emphasised.

Item Type: Article
Keywords: gap metric, graph metric, graph topology, robust stability, nonlinear systems AMS subject classifications. 93D09, 93D25, 93C10
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 260187
Date Deposited: 25 Nov 2005
Last Modified: 27 Mar 2014 20:03
Further Information:Google Scholar
ISI Citation Count:4
URI: http://eprints.soton.ac.uk/id/eprint/260187

Actions (login required)

View Item View Item

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics