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Equivalence of a behavioral distance and the gap metric

By Joseph Ball and Amol J. Sasane

Abstract

In this note it is shown that the topology of the gap metric is precisely the topology induced by the behavioral distance introduced in [10], when restricted to the class of stable state space systems with a fixed MacMillan degree

Topics: QA Mathematics
Publisher: Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science
Year: 2004
OAI identifier: oai:eprints.lse.ac.uk:13343
Provided by: LSE Research Online
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