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Frequency domain uncertainty and the graph topology

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1 Author(s)
Vinnicombe, G. ; Dept. of Eng., Cambridge Univ., UK

A new metric on linear, time-invariant systems is defined. This metric is no greater than the gap metric, and is in fact the smallest metric for which a certain robust stabilization result holds. Unlike other known metrics which induce the graph topology, it has a clear frequency response interpretation. This allows questions regarding robustness in the face of parametric uncertainty to be considered in terms of this metric

Published in:

Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 9 )

Date of Publication:

Sep 1993

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