Centre for Discrete and Applicable Mathematics

CDAM Research Report, LSE-CDAM-2004-17

November 2004

Equivalence of a behavioral distance and the gap metric

Joseph A. 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 Sasane (Distance between behaviours, International Journal of Control, 76:1214-1223, 2003), when restricted to the class of stable state space systems with a fixed MacMillan degree.

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		CDAM Research Reports Series Centre for Discrete and Applicable Mathematics London School of Economics Houghton Street London WC2A 2AE, U.K.
		Phone: +44(0)-20-7955 7732. Fax: +44(0)-20-7955 6877. Email: info@maths.lse.ac.uk