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Equivalence of a behavioral distance and the gap metric

Ball, Joseph and Sasane, Amol J. (2004) Equivalence of a behavioral distance and the gap metric. CDAM research report series, LSE-CDAM-2004-17. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

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Identification Number: LSE-CDAM-2004-17

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.

Item Type: Monograph (Report)
Official URL: http://www.cdam.lse.ac.uk
Additional Information: © 2004 the authors
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM)
Date Deposited: 01 Dec 2008 15:42
Last Modified: 01 Oct 2010 09:05
URI: http://eprints.lse.ac.uk/id/eprint/13343

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