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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), pp. 418-443.

Record type: Article


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.

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Published date: August 2005
Keywords: gap metric, graph metric, graph topology, robust stability, nonlinear systems AMS subject classifications. 93D09, 93D25, 93C10
Organisations: Southampton Wireless Group


Local EPrints ID: 260187
PURE UUID: de4f4fd4-cd21-445c-95ae-aa40526840f7

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Date deposited: 25 Nov 2005
Last modified: 18 Jul 2017 09:15

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Author: Wenming Bian
Author: Mark French

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