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The Vinnicombe Metric For Nonlinear Operators

Anderson, Brian; Brinsmead, Thomas; De Bruyne, Franky


This paper describes an extension of the Vinnicombe metric on linear operators to a pseudometric on nonlinear operators. A metric for finite-dimensional time-varying operators is shown to be capable of guaranteeing stability and performance robustness and reduces to the standard Vinnicombe metric for the time-invariant operator case, which is known to be less conservative than the gap metric. The analysis exploits the time-varying operator equivalents of unstable poles and normalized coprime...[Show more]

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
Source: IEEE Transactions on Automatic Control
DOI: 10.1109/TAC.2002.802767


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