Equivalence of a behavioral distance and the gap metric

Ball, Joseph; and Sasane, Amol J.ORCID logo (2004) Equivalence of a behavioral distance and the gap metric Technical Report. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.
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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.

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