A characterisation of the gap metric for approximation problems

被引：9

作者：

Cantoni, Michael ^{[1
]}

机构：

[1] Univ Melbourne, Dept E&E Engn, Parkville, Vic 3010, Australia

来源：

PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2006年

关键词：

D O I：

10.1109/CDC.2006.377351

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A characterisation of the gap metric is developed in an operator theoretic setting, under assumptions regarding the existence of normalised strong right and left representations of the graph and a certain J-spectral factorisation, known to hold for various classes of system. This new characterisation appears to be useful within the context of model approximation problems because it is equivalent to bounding the gain of a linear fractional interconnection, which is well-studied in the literature of modern control theory.

引用

页码：5359 / 5364

页数：6

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