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.


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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 > Southampton Wireless Group
ePrint ID: 260187
Accepted Date and Publication Date:
August 2005Published
Date Deposited: 25 Nov 2005
Last Modified: 31 Mar 2016 14:02
Further Information:Google Scholar

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