Graph Topologies, Gap Metrics and Robust Stability for Nonlinear Systems
Graph Topologies, Gap Metrics and Robust Stability for Nonlinear Systems
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.
gap metric, graph metric, graph topology, robust stability, nonlinear systems AMS subject classifications. 93D09, 93D25, 93C10
418-443
Bian, Wenming
7fed6a6f-4242-4fdb-9096-cbf73a7d96fc
French, Mark
22958f0e-d779-4999-adf6-2711e2d910f8
August 2005
Bian, Wenming
7fed6a6f-4242-4fdb-9096-cbf73a7d96fc
French, Mark
22958f0e-d779-4999-adf6-2711e2d910f8
Bian, Wenming and French, Mark
(2005)
Graph Topologies, Gap Metrics and Robust Stability for Nonlinear Systems.
SIAM Journal of Control and Optimization, 44 (2), .
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.
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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
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Local EPrints ID: 260187
URI: http://eprints.soton.ac.uk/id/eprint/260187
PURE UUID: de4f4fd4-cd21-445c-95ae-aa40526840f7
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Date deposited: 25 Nov 2005
Last modified: 14 Mar 2024 06:34
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Author:
Wenming Bian
Author:
Mark French
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